# meditationatae

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## Data on primes to 10^12 by intervals of length 10^9, 1000 lines

I’ve used Daniel Bernstein’s Primegen implementation of Atkin’s sieve for the primes, as modified by James Waldby, to compute for intervals from k*10^9 to (k+1)*10^9, with 0<= k <= 999,

(a) the number of prime numbers in the interval

(b) For an interval I = [ k*10^9, (k+1)*10^9] the value of

Product_{primes p element_of I} ( 1 + 1/p) , denoted “Prod:”

(c) sum_{primes p element_of I} log(p) , denoted  “Sumlog:”    and

(d) max_{primes p element_of I} p , denoted “lastprime:” .

Using these data, I expect to be able log(N_p), for the primes p appearing under “lastprime”, where N_p is the

least colossally abundant number divisible by p. Wikipedia on colossally abundant numbers:

http://en.wikipedia.org/wiki/Colossally_abundant_number

En francais: Wikipedia (francais) sur les nombres colossalement abondants:

http://fr.wikipedia.org/wiki/Nombre_colossalement_abondant

Please note that for the floating point computations in (b) and (c) above,

I used the extended C type “__float128″ and GNU GCC’s “libquadmath”, web reference:

The extended C type “__float128″ uses 128 bits to represent one real-valued floating number,

with 1 sign bit, 15 bits for the exponent of the base, and 112 bits for the mantissa, or “fraction” part, i.e. a number in the range 1 <= m < 2 , from what I believe: that the base is 2, and that exponents apply to integral powers of the base=2.

The __float128 real-valued floating point numbers with 112-bit  mantissa correspond to about 32 or 33 significant base 10 digits. The quadmath library contains for example the `logq`, expq, sinq and cosq “quad-precision”, or 32-digit precision implementations of the mathematical real-variable functions: log or ln, exp, sine  and cosine.

The table, with 1000 lines, follows. It took 1600 minutes for all the computations on 1 core of Intel quad-core 2.4 GHz processor [ Intel Core 2 Quad Q6600 2.4 GHz ].

___________________________________________________________________________________________________

1 1000000000 50847534 Prod: 22.4384020540226364656049899 Sumlog: 999968978.5775661447991262386023996 lastprime: 999999937
1000000000 2000000000 47374753 Prod: 1.0334469384732548078279679 Sumlog: 999972105.1069202509465044400677766 lastprime: 1999999973
2000000000 3000000000 46227250 Prod: 1.0189324681732858171042773 Sumlog: 999995953.2817977747742311247173514 lastprime: 2999999929
3000000000 4000000000 45512275 Prod: 1.0131833057201272374382736 Sumlog: 1000009099.1993016172012305968033243 lastprime: 3999999979
4000000000 5000000000 44992411 Prod: 1.0100922290298027086852032 Sumlog: 999960439.1972580171982298738243266 lastprime: 4999999937
5000000000 6000000000 44591145 Prod: 1.0081640792501671312654584 Sumlog: 1000023735.7708610162287171990763445 lastprime: 5999999989
6000000000 7000000000 44258984 Prod: 1.0068464843023740232282890 Sumlog: 999987131.3860677539894882243606672 lastprime: 6999999989
7000000000 8000000000 43979302 Prod: 1.0058902749648945661306637 Sumlog: 999973350.1741837379125526809945943 lastprime: 7999999957
8000000000 9000000000 43739541 Prod: 1.0051653415779231508274099 Sumlog: 1000004096.8035843087464993266243063 lastprime: 8999999993
9000000000 10000000000 43529316 Prod: 1.0045969868061317816216893 Sumlog: 1000044941.1602167623626422903321056 lastprime: 9999999967
10000000000 11000000000 43336106 Prod: 1.0041390448669395522341716 Sumlog: 999947334.2925598436257492841483859 lastprime: 10999999999
11000000000 12000000000 43167234 Prod: 1.0037632046045405402897796 Sumlog: 999980662.4328320297588074983767899 lastprime: 11999999983
12000000000 13000000000 43014349 Prod: 1.0034489985052059913004706 Sumlog: 1000027895.0291159643648818855256537 lastprime: 12999999959
13000000000 14000000000 42870136 Prod: 1.0031821345404561742906261 Sumlog: 999976224.3825849293360450939191933 lastprime: 13999999991
14000000000 15000000000 42740180 Prod: 1.0029531676680696273592996 Sumlog: 1000000538.8368625740216593019042169 lastprime: 14999999969
15000000000 16000000000 42619305 Prod: 1.0027544169547073173662349 Sumlog: 1000015815.1393520786247376122771231 lastprime: 15999999991
16000000000 17000000000 42506114 Prod: 1.0025802719256527109453422 Sumlog: 1000018426.8796236466763129415988286 lastprime: 16999999999
17000000000 18000000000 42397463 Prod: 1.0024263368435606363964650 Sumlog: 999957722.6945177404294372665917047 lastprime: 17999999989
18000000000 19000000000 42296629 Prod: 1.0022895007292593379904511 Sumlog: 999930584.1957429956974859962011441 lastprime: 18999999959
19000000000 20000000000 42206689 Prod: 1.0021672879735237239047049 Sumlog: 1000026728.2272626425569713891740996 lastprime: 19999999967
20000000000 21000000000 42117773 Prod: 1.0020570628891334571165582 Sumlog: 1000026851.4229493920667387455463863 lastprime: 20999999981
21000000000 22000000000 42033862 Prod: 1.0019573446379444052965881 Sumlog: 1000036884.9583359358816401695553094 lastprime: 21999999977
22000000000 23000000000 41951193 Prod: 1.0018665576175027590729118 Sumlog: 999977653.9223086093530862378573778 lastprime: 22999999987
23000000000 24000000000 41876823 Prod: 1.0017838607215032663061855 Sumlog: 1000026286.1452821010377129049004400 lastprime: 23999999977
24000000000 25000000000 41801038 Prod: 1.0017078682498813402329904 Sumlog: 999958738.5533008690185448279138057 lastprime: 24999999991
25000000000 26000000000 41730415 Prod: 1.0016380452617804150846179 Sumlog: 999938988.6709176046016588782538072 lastprime: 25999999979
26000000000 27000000000 41667335 Prod: 1.0015737842602462551472743 Sumlog: 1000030455.6114256826199210656692354 lastprime: 26999999993
27000000000 28000000000 41602782 Prod: 1.0015141483814200709730979 Sumlog: 1000022355.2690378921941496524542657 lastprime: 27999999967
28000000000 29000000000 41540225 Prod: 1.0014587694773902045054833 Sumlog: 1000002616.3232089513297046281682491 lastprime: 28999999999
29000000000 30000000000 41477764 Prod: 1.0014071550300835251475313 Sumlog: 999929526.1704398668803713910084538 lastprime: 29999999993
30000000000 31000000000 41424698 Prod: 1.0013592374677562722852769 Sumlog: 1000031284.8904698984229102033954658 lastprime: 30999999997
31000000000 32000000000 41368791 Prod: 1.0013142724504751802716049 Sumlog: 1000016394.7717067179838647832870932 lastprime: 31999999987
32000000000 33000000000 41316074 Prod: 1.0012721762917588945983739 Sumlog: 1000033410.0282659454507231000878900 lastprime: 32999999959
33000000000 34000000000 41259170 Prod: 1.0012324710751688757223071 Sumlog: 999906541.7139445983579212943622939 lastprime: 33999999967
34000000000 35000000000 41215217 Prod: 1.0011954445485513894995945 Sumlog: 1000053760.6506378543332050635612159 lastprime: 34999999999
35000000000 36000000000 41166936 Prod: 1.0011603834829076407222251 Sumlog: 1000058647.8402962883725161499964029 lastprime: 35999999929
36000000000 37000000000 41116296 Prod: 1.0011271824261148491017494 Sumlog: 999970681.4847473949949729291116878 lastprime: 36999999983
37000000000 38000000000 41072879 Prod: 1.0010959442335409968250440 Sumlog: 1000024998.3549796264427581305738862 lastprime: 37999999963
38000000000 39000000000 41026277 Prod: 1.0010662481737597447564704 Sumlog: 999970106.2135976311492387985765111 lastprime: 38999999989
39000000000 40000000000 40983169 Prod: 1.0010381440272895195824773 Sumlog: 999970403.0116832412923666678390842 lastprime: 39999999979
40000000000 41000000000 40942651 Prod: 1.0010114938676565578122214 Sumlog: 1000005449.3711351705365926152316968 lastprime: 40999999903
41000000000 42000000000 40900619 Prod: 1.0009860915791543860646921 Sumlog: 999976539.3725179316200201545437730 lastprime: 41999999999
42000000000 43000000000 40859364 Prod: 1.0009619063758441396840223 Sumlog: 999940748.8598513954870266993847512 lastprime: 42999999997
43000000000 44000000000 40824780 Prod: 1.0009389840451435190986858 Sumlog: 1000043941.8631640570628940256402152 lastprime: 43999999999
44000000000 45000000000 40785896 Prod: 1.0009169971366945605447894 Sumlog: 1000018472.4338674585925717321183144 lastprime: 44999999971
45000000000 46000000000 40749595 Prod: 1.0008960342328001487116915 Sumlog: 1000034033.2952255557740419701916170 lastprime: 45999999953
46000000000 47000000000 40711114 Prod: 1.0008759256940776252199194 Sumlog: 999974800.5557700075403025965098066 lastprime: 46999999997
47000000000 48000000000 40675023 Prod: 1.0008567153210628036257706 Sumlog: 999953802.4253759321800225508384055 lastprime: 47999999969
48000000000 49000000000 40641065 Prod: 1.0008383415331241992820742 Sumlog: 999965734.9127340135124770274591204 lastprime: 48999999989
49000000000 50000000000 40609038 Prod: 1.0008207500875264362688520 Sumlog: 1000006508.8665090611529637310608778 lastprime: 49999999967
50000000000 51000000000 40575830 Prod: 1.0008038315030077189079922 Sumlog: 1000000343.4236177034581670678581467 lastprime: 50999999957
51000000000 52000000000 40547028 Prod: 1.0007876566370594943426686 Sumlog: 1000085583.3382944630541775413244753 lastprime: 51999999973
52000000000 53000000000 40509244 Prod: 1.0007719264346124486207294 Sumlog: 999932731.4746523772892835073573754 lastprime: 52999999991
53000000000 54000000000 40483597 Prod: 1.0007570126148014357495662 Sumlog: 1000063504.2793606138590328380196982 lastprime: 53999999981
54000000000 55000000000 40452835 Prod: 1.0007425507626113721823575 Sumlog: 1000052810.5292340744970216474911789 lastprime: 54999999953
55000000000 56000000000 40419653 Prod: 1.0007285676891172286177768 Sumlog: 999967438.0692868008690148073329562 lastprime: 55999999889
56000000000 57000000000 40392162 Prod: 1.0007151805617044370283907 Sumlog: 1000008642.3213172460259925067867575 lastprime: 56999999951
57000000000 58000000000 40361469 Prod: 1.0007022034954441448803767 Sumlog: 999956890.5877162629605501581424112 lastprime: 57999999983
58000000000 59000000000 40332795 Prod: 1.0006897047659843825299787 Sumlog: 999941919.6072889126640088362680284 lastprime: 58999999973
59000000000 60000000000 40308964 Prod: 1.0006777077581314654811840 Sumlog: 1000034333.1881024027243611556198727 lastprime: 59999999999
60000000000 61000000000 40281387 Prod: 1.0006660456757646857811359 Sumlog: 1000021551.8193339916879781501215746 lastprime: 60999999941
61000000000 62000000000 40251929 Prod: 1.0006547319798062668541870 Sumlog: 999950148.7224586188293925912711925 lastprime: 61999999973
62000000000 63000000000 40228286 Prod: 1.0006438738264246515957509 Sumlog: 1000011678.7146625132596142958184916 lastprime: 62999999947
63000000000 64000000000 40200844 Prod: 1.0006332981152113152312166 Sumlog: 999967642.3577941472871678515540655 lastprime: 63999999997
64000000000 65000000000 40176042 Prod: 1.0006230915034868944533667 Sumlog: 999978473.7855684142228899670321423 lastprime: 64999999927
65000000000 66000000000 40151113 Prod: 1.0006131946587483802548309 Sumlog: 999975718.2441635130910453472147598 lastprime: 65999999999
66000000000 67000000000 40126676 Prod: 1.0006036027969295137310247 Sumlog: 999975113.9709700533544694125420530 lastprime: 66999999967
67000000000 68000000000 40103781 Prod: 1.0005943179731008178871316 Sumlog: 1000003158.2671390020671806422676432 lastprime: 67999999981
68000000000 69000000000 40083140 Prod: 1.0005853372321456116950740 Sumlog: 1000077960.2628853577625369893474993 lastprime: 68999999941
69000000000 70000000000 40058186 Prod: 1.0005765532569455424208770 Sumlog: 1000035920.5081875965911297101085176 lastprime: 69999999997
70000000000 71000000000 40031060 Prod: 1.0005679874555286377256987 Sumlog: 999930633.5081641759624196393108483 lastprime: 70999999999
71000000000 72000000000 40010247 Prod: 1.0005597506088755245405501 Sumlog: 999974235.9949547521358727008616232 lastprime: 71999999999
72000000000 73000000000 39989890 Prod: 1.0005517459308768699900467 Sumlog: 1000020934.9953376839229248350233200 lastprime: 72999999973
73000000000 74000000000 39964230 Prod: 1.0005438879345142897368226 Sumlog: 999926706.8962413401631632879568501 lastprime: 73999999993
74000000000 75000000000 39946511 Prod: 1.0005363470426989626084557 Sumlog: 1000023219.4065769713072606516724420 lastprime: 74999999989
75000000000 76000000000 39926594 Prod: 1.0005289769825495738385292 Sumlog: 1000056993.4401195876310462262227079 lastprime: 75999999991
76000000000 77000000000 39906295 Prod: 1.0005217946984480422291586 Sumlog: 1000073659.0259084481439188859659310 lastprime: 76999999981
77000000000 78000000000 39879152 Prod: 1.0005147098172413244333474 Sumlog: 999911343.5097176512598922871833370 lastprime: 77999999999
78000000000 79000000000 39865378 Prod: 1.0005079752541761373280527 Sumlog: 1000077116.6312107967134120917960796 lastprime: 78999999979
79000000000 80000000000 39840350 Prod: 1.0005012689698466969572318 Sumlog: 999953569.5834875624412425037646956 lastprime: 79999999999
80000000000 81000000000 39821000 Prod: 1.0004947998495749781186024 Sumlog: 999965677.4147192040190570123665825 lastprime: 80999999981
81000000000 82000000000 39803203 Prod: 1.0004885085657132537429193 Sumlog: 1000010178.3098777375114034827245472 lastprime: 81999999989
82000000000 83000000000 39784260 Prod: 1.0004823558693026472659454 Sumlog: 1000019449.5081171951366142877695361 lastprime: 82999999993
83000000000 84000000000 39765158 Prod: 1.0004763487846749208118918 Sumlog: 1000018408.2370338348275202488723594 lastprime: 83999999987
84000000000 85000000000 39746136 Prod: 1.0004704847240378365390573 Sumlog: 1000013230.3051647830345431300284103 lastprime: 84999999913
85000000000 86000000000 39727200 Prod: 1.0004647590111762865308244 Sumlog: 1000004188.5000381013562864089886571 lastprime: 85999999997
86000000000 87000000000 39706330 Prod: 1.0004591432163238952671091 Sumlog: 999940575.7208428355482109185507359 lastprime: 86999999981
87000000000 88000000000 39689138 Prod: 1.0004536983546627161024975 Sumlog: 999963797.6045696085293218047138832 lastprime: 87999999959
88000000000 89000000000 39674454 Prod: 1.0004484044114558779306832 Sumlog: 1000044704.9006313582065839082338050 lastprime: 88999999969
89000000000 90000000000 39652866 Prod: 1.0004431518964424157440547 Sumlog: 999946088.3942643332273351927294309 lastprime: 89999999993
90000000000 91000000000 39638063 Prod: 1.0004380902948384837855904 Sumlog: 1000013232.9819608790343617267106958 lastprime: 90999999973
91000000000 92000000000 39621606 Prod: 1.0004331212773287824309058 Sumlog: 1000033463.6145770219332933349447719 lastprime: 91999999991
92000000000 93000000000 39603089 Prod: 1.0004282375533959186727917 Sumlog: 999996575.6187143205046315508484814 lastprime: 92999999999
93000000000 94000000000 39589524 Prod: 1.0004235111613388425775832 Sumlog: 1000079765.2989544829602076377336830 lastprime: 93999999979
94000000000 95000000000 39568558 Prod: 1.0004188065940083408445385 Sumlog: 999971087.3796011398382286404363607 lastprime: 94999999993
95000000000 96000000000 39553728 Prod: 1.0004142647809654074336702 Sumlog: 1000012674.1994391706328720240815934 lastprime: 95999999993
96000000000 97000000000 39534403 Prod: 1.0004097706246503598944724 Sumlog: 999935912.0610627674525624796825698 lastprime: 96999999997
97000000000 98000000000 39523591 Prod: 1.0004054559581848909406795 Sumlog: 1000069915.7467808128342731979161050 lastprime: 97999999967
98000000000 99000000000 39505228 Prod: 1.0004011523749763508453041 Sumlog: 1000008384.3495673982683491811857590 lastprime: 98999999999
99000000000 100000000000 39488032 Prod: 1.0003969467946706728950472 Sumlog: 999971985.7658761602658592810112332 lastprime: 99999999977
100000000000 101000000000 39475591 Prod: 1.0003928724476856657954322 Sumlog: 1000051694.1154097038512004421900658 lastprime: 100999999999
101000000000 102000000000 39459234 Prod: 1.0003888398954838588766478 Sumlog: 1000027992.5641175900491606676234905 lastprime: 101999999987
102000000000 103000000000 39443968 Prod: 1.0003848964869513294217193 Sumlog: 1000027819.6217741957662690249074112 lastprime: 102999999983
103000000000 104000000000 39422283 Prod: 1.0003809672455067574077262 Sumlog: 999860790.9360300435071049928253971 lastprime: 103999999981
104000000000 105000000000 39416174 Prod: 1.0003772624014712509151818 Sumlog: 1000084856.8025782159503868236134285 lastprime: 104999999989
105000000000 106000000000 39392832 Prod: 1.0003734643003185008192278 Sumlog: 999867798.8084051829151843229012712 lastprime: 105999999953
106000000000 107000000000 39378090 Prod: 1.0003698184288494889660061 Sumlog: 999865113.5450804217211419900810199 lastprime: 106999999973
107000000000 108000000000 39368291 Prod: 1.0003662865078642800807526 Sumlog: 999984223.7770565455826444319045759 lastprime: 107999999993
108000000000 109000000000 39353372 Prod: 1.0003627723364695927202140 Sumlog: 999969663.1428490347458390546816466 lastprime: 108999999967
109000000000 110000000000 39340584 Prod: 1.0003593418730455621743175 Sumlog: 1000005648.2160389751288140122860082 lastprime: 109999999987
110000000000 111000000000 39326812 Prod: 1.0003559645227986820558936 Sumlog: 1000013105.9834565222368483944305896 lastprime: 110999999977
111000000000 112000000000 39314700 Prod: 1.0003526627926646516166047 Sumlog: 1000059304.4230736926513240168850568 lastprime: 111999999989
112000000000 113000000000 39299861 Prod: 1.0003493953792204589893185 Sumlog: 1000032747.4465383019816540188749519 lastprime: 112999999951
113000000000 114000000000 39284978 Prod: 1.0003461852672139927318192 Sumlog: 1000001689.6758524695220933988330829 lastprime: 113999999987
114000000000 115000000000 39273371 Prod: 1.0003430599858892947546425 Sumlog: 1000050724.9614513837145473204672957 lastprime: 114999999973
115000000000 116000000000 39258494 Prod: 1.0003399603714936788222644 Sumlog: 1000013282.6674162034929175586605893 lastprime: 115999999991
116000000000 117000000000 39243954 Prod: 1.0003369168261258518986638 Sumlog: 999981232.3767900276743049911977875 lastprime: 116999999989
117000000000 118000000000 39233145 Prod: 1.0003339569240834396385448 Sumlog: 1000041135.3327193823514059080160165 lastprime: 117999999991
118000000000 119000000000 39213849 Prod: 1.0003309753441718597747173 Sumlog: 999881609.2968505549261029345462051 lastprime: 118999999997
119000000000 120000000000 39205003 Prod: 1.0003281312733645953896848 Sumlog: 999985494.1137486943777389127938357 lastprime: 119999999981
120000000000 121000000000 39191126 Prod: 1.0003252923773000666725386 Sumlog: 999958152.7437405372609268056507361 lastprime: 120999999959
121000000000 122000000000 39186242 Prod: 1.0003225743544007950834548 Sumlog: 1000157400.4709455479466619188741152 lastprime: 121999999999
122000000000 123000000000 39166857 Prod: 1.0003197824201851768556062 Sumlog: 999983668.1857036858913388841414555 lastprime: 122999999981
123000000000 124000000000 39158799 Prod: 1.0003171273807855887861791 Sumlog: 1000096304.2141365167607074096311025 lastprime: 123999999989
124000000000 125000000000 39143017 Prod: 1.0003144529064560407573874 Sumlog: 1000008916.9995537866074773850155496 lastprime: 124999999997
125000000000 126000000000 39125959 Prod: 1.0003118110039224088089504 Sumlog: 999886127.6580874360104276978299360 lastprime: 125999999969
126000000000 127000000000 39119383 Prod: 1.0003092936093529861307440 Sumlog: 1000028558.6496090237283859702325050 lastprime: 126999999977
127000000000 128000000000 39106597 Prod: 1.0003067670496420261908706 Sumlog: 1000009634.9300029380522788344692017 lastprime: 127999999997
128000000000 129000000000 39093178 Prod: 1.0003042749475984422961627 Sumlog: 999971906.2683010803302847497961763 lastprime: 128999999993
129000000000 130000000000 39087693 Prod: 1.0003018826564082055382099 Sumlog: 1000134603.9339361756019261721848343 lastprime: 129999999949
130000000000 131000000000 39071064 Prod: 1.0002994414481884295148429 Sumlog: 1000009681.0102498747035192223308956 lastprime: 130999999987
131000000000 132000000000 39055830 Prod: 1.0002970481135404881349990 Sumlog: 999917907.3854356816941173735566708 lastprime: 131999999983
132000000000 133000000000 39047357 Prod: 1.0002947419114357695704746 Sumlog: 999996797.0125946660207922291551909 lastprime: 132999999973
133000000000 134000000000 39038464 Prod: 1.0002924671140445192421626 Sumlog: 1000062575.7208747675995309221878590 lastprime: 133999999979
134000000000 135000000000 39021888 Prod: 1.0002901690047906260457621 Sumlog: 999929155.6414828320658095199261032 lastprime: 134999999999
135000000000 136000000000 39009530 Prod: 1.0002879359902342954488871 Sumlog: 999901444.5665870937395981371383944 lastprime: 135999999997
136000000000 137000000000 39005386 Prod: 1.0002857958890722049941318 Sumlog: 1000082030.3662761880480622096990827 lastprime: 136999999967
137000000000 138000000000 38986715 Prod: 1.0002835812558287421962802 Sumlog: 999887887.4391551285343781291554360 lastprime: 137999999989
138000000000 139000000000 38984837 Prod: 1.0002815198066177906690425 Sumlog: 1000122232.4067787833906390881519579 lastprime: 138999999991
139000000000 140000000000 38966837 Prod: 1.0002793724614826888259285 Sumlog: 999940785.3524672915346458505456404 lastprime: 139999999991
140000000000 141000000000 38957355 Prod: 1.0002773162076523670361102 Sumlog: 999975739.2503885348624294835577820 lastprime: 140999999957
141000000000 142000000000 38947286 Prod: 1.0002752849333234094741120 Sumlog: 999993504.4073517109162835739017169 lastprime: 141999999949
142000000000 143000000000 38934953 Prod: 1.0002732662731055155649048 Sumlog: 999951037.5982737198996533846377500 lastprime: 142999999999
143000000000 144000000000 38929070 Prod: 1.0002713206694748170427469 Sumlog: 1000072184.2404303813151193086075168 lastprime: 143999999993
144000000000 145000000000 38916318 Prod: 1.0002693544720577001595531 Sumlog: 1000014845.5160090990193973687673774 lastprime: 144999999979
145000000000 146000000000 38906094 Prod: 1.0002674326515907294368637 Sumlog: 1000020449.5364169712834471829205698 lastprime: 145999999997
146000000000 147000000000 38895708 Prod: 1.0002655360387179364922085 Sumlog: 1000019899.3945033343601998809307013 lastprime: 146999999999
147000000000 148000000000 38888765 Prod: 1.0002636884959337456916465 Sumlog: 1000105938.9276014751262224088577721 lastprime: 147999999991
148000000000 149000000000 38874839 Prod: 1.0002618187458611045647246 Sumlog: 1000010475.7020457894696757400654803 lastprime: 148999999919
149000000000 150000000000 38861410 Prod: 1.0002599773139836460906856 Sumlog: 999925853.6915442624495239486120743 lastprime: 149999999969
150000000000 151000000000 38851516 Prod: 1.0002581839445061121339757 Sumlog: 999930280.2649457824313554843618512 lastprime: 150999999991
151000000000 152000000000 38842805 Prod: 1.0002564219832365168567900 Sumlog: 999963327.2250644754335697994804734 lastprime: 151999999951
152000000000 153000000000 38831759 Prod: 1.0002546678305279831585077 Sumlog: 999934437.5345757419984198500521404 lastprime: 152999999993
153000000000 154000000000 38821650 Prod: 1.0002529425994517081457240 Sumlog: 999927874.0720654918312730687243080 lastprime: 153999999997
154000000000 155000000000 38817734 Prod: 1.0002512799245464693683145 Sumlog: 1000079064.9100643064619026898798487 lastprime: 154999999997
155000000000 156000000000 38806565 Prod: 1.0002495919532014138236760 Sumlog: 1000041674.1977628424554217105583939 lastprime: 155999999971
156000000000 157000000000 38797506 Prod: 1.0002479390027631033713046 Sumlog: 1000056929.1070163700698699192597657 lastprime: 156999999983
157000000000 158000000000 38783541 Prod: 1.0002462758571383120174702 Sumlog: 999943999.1259144864545607947825646 lastprime: 157999999973
158000000000 159000000000 38776560 Prod: 1.0002446778124946998027508 Sumlog: 1000009432.7925693892181837251989402 lastprime: 158999999999
159000000000 160000000000 38766345 Prod: 1.0002430795513095660280841 Sumlog: 999989809.0470499826795769571639581 lastprime: 159999999983
160000000000 161000000000 38759365 Prod: 1.0002415213580160423859807 Sumlog: 1000052003.2287334431200919643871830 lastprime: 160999999991
161000000000 162000000000 38745933 Prod: 1.0002399424357033898661544 Sumlog: 999946105.0087769829137667297792565 lastprime: 161999999983
162000000000 163000000000 38737798 Prod: 1.0002384156011688812195985 Sumlog: 999975283.6236335669309963490372171 lastprime: 162999999971
163000000000 164000000000 38725773 Prod: 1.0002368836866777999429816 Sumlog: 999902448.6783442272423386578592370 lastprime: 163999999987
164000000000 165000000000 38722138 Prod: 1.0002354214219808577648933 Sumlog: 1000044698.4017806321848101159396689 lastprime: 164999999953
165000000000 166000000000 38707967 Prod: 1.0002339130590788927706188 Sumlog: 999913320.1451260852425420289952531 lastprime: 165999999989
166000000000 167000000000 38704258 Prod: 1.0002324857494839241772911 Sumlog: 1000050663.4961011590972213947819000 lastprime: 166999999979
167000000000 168000000000 38692476 Prod: 1.0002310272312440614518482 Sumlog: 999977933.0279767120901059645169492 lastprime: 167999999971
168000000000 169000000000 38686345 Prod: 1.0002296196476833866757803 Sumlog: 1000049749.4641159803669803054438762 lastprime: 168999999901
169000000000 170000000000 38674643 Prod: 1.0002281957190636306764081 Sumlog: 999976099.7973857180185170230759979 lastprime: 169999999963
170000000000 171000000000 38671211 Prod: 1.0002268369996927762344570 Sumlog: 1000114846.5811623820478172419209362 lastprime: 170999999971
171000000000 172000000000 38656324 Prod: 1.0002254274151086135420297 Sumlog: 999955890.1520872151992915772280392 lastprime: 171999999971
172000000000 173000000000 38648858 Prod: 1.0002240771200098525466481 Sumlog: 999987468.9973731610402176352416722 lastprime: 172999999999
173000000000 174000000000 38640227 Prod: 1.0002227357077772821991194 Sumlog: 999987507.3296269753515316949778536 lastprime: 173999999911
174000000000 175000000000 38630644 Prod: 1.0002214042304233481741653 Sumlog: 999961517.1125280733353411195691247 lastprime: 174999999997
175000000000 176000000000 38624574 Prod: 1.0002201079671371369443986 Sumlog: 1000025100.1275085807189989780531166 lastprime: 175999999951
176000000000 177000000000 38617437 Prod: 1.0002188202095045058845714 Sumlog: 1000059752.5850364296687207480408710 lastprime: 176999999893
177000000000 178000000000 38607178 Prod: 1.0002175295110993841574437 Sumlog: 1000012192.8659839368079232971475947 lastprime: 177999999943
178000000000 179000000000 38595802 Prod: 1.0002162469450741885125575 Sumlog: 999934365.8884517519148234510867120 lastprime: 178999999999
179000000000 180000000000 38595272 Prod: 1.0002150391452554054118841 Sumlog: 1000136250.5333237678319168923383227 lastprime: 179999999953
180000000000 181000000000 38578434 Prod: 1.0002137543248527086408312 Sumlog: 999914250.9686124163155686417968044 lastprime: 180999999997
181000000000 182000000000 38573827 Prod: 1.0002125511000324680851238 Sumlog: 1000007957.4902464887649470596270297 lastprime: 181999999999
182000000000 183000000000 38565807 Prod: 1.0002113423880178706998196 Sumlog: 1000011937.5461019154588333298109585 lastprime: 182999999989
183000000000 184000000000 38554963 Prod: 1.0002101314186028920292698 Sumlog: 999941437.3063600003131626946591582 lastprime: 183999999947
184000000000 185000000000 38551882 Prod: 1.0002089756328578276194906 Sumlog: 1000071058.6345333417542494271519129 lastprime: 184999999981
185000000000 186000000000 38535194 Prod: 1.0002077590066424084132600 Sumlog: 999846450.3139352878237899274166498 lastprime: 185999999971
186000000000 187000000000 38534775 Prod: 1.0002066426290214510292445 Sumlog: 1000042759.8766944948059223586063067 lastprime: 186999999919
187000000000 188000000000 38525012 Prod: 1.0002054883793935020023200 Sumlog: 999995402.4881693363945277830684857 lastprime: 187999999991
188000000000 189000000000 38518062 Prod: 1.0002043612296478379400366 Sumlog: 1000019891.2586892929787033448587550 lastprime: 188999999989
189000000000 190000000000 38509043 Prod: 1.0002032350588660858546082 Sumlog: 999989494.7661761484497570353489872 lastprime: 189999999983
190000000000 191000000000 38498010 Prod: 1.0002021101944280988517847 Sumlog: 999905610.5698654664064679282355936 lastprime: 190999999999
191000000000 192000000000 38496080 Prod: 1.0002010445862237664484425 Sumlog: 1000057036.0629234705911799308656913 lastprime: 191999999959
192000000000 193000000000 38486250 Prod: 1.0001999490257183878318225 Sumlog: 1000002118.7638101078471587491497030 lastprime: 192999999947
193000000000 194000000000 38481294 Prod: 1.0001988899916887661617905 Sumlog: 1000072727.3436242824777386834867314 lastprime: 193999999981
194000000000 195000000000 38471741 Prod: 1.0001978181561769998378039 Sumlog: 1000022774.1765772130293261196731370 lastprime: 194999999993
195000000000 196000000000 38461993 Prod: 1.0001967563148391118871553 Sumlog: 999966631.0242272045191415701458931 lastprime: 195999999997
196000000000 197000000000 38453022 Prod: 1.0001957092619282698471235 Sumlog: 999929582.0053128358515157080938813 lastprime: 196999999871
197000000000 198000000000 38451009 Prod: 1.0001947080504722807659037 Sumlog: 1000072416.4364969163785898964740453 lastprime: 197999999933
198000000000 199000000000 38440864 Prod: 1.0001936759570563359310098 Sumlog: 1000002697.5259927360606521958606691 lastprime: 198999999973
199000000000 200000000000 38439637 Prod: 1.0001926988953882874840286 Sumlog: 1000163944.2308377880636985606765374 lastprime: 199999999949
200000000000 201000000000 38429389 Prod: 1.0001916865144172826453405 Sumlog: 1000089462.6803523120125475858898574 lastprime: 200999999983
201000000000 202000000000 38413672 Prod: 1.0001906571782228855895989 Sumlog: 999871541.4402122645526749009388809 lastprime: 201999999941
202000000000 203000000000 38407046 Prod: 1.0001896828017236129902486 Sumlog: 999889215.5311923589764322391262242 lastprime: 202999999963
203000000000 204000000000 38402973 Prod: 1.0001887305698064251198226 Sumlog: 999972360.9552766508942571168813244 lastprime: 203999999969
204000000000 205000000000 38397837 Prod: 1.0001877825257621162177715 Sumlog: 1000026839.4425178297927224784834636 lastprime: 204999999983
205000000000 206000000000 38390812 Prod: 1.0001868344514132183987954 Sumlog: 1000031156.6477939227862260272438944 lastprime: 205999999993
206000000000 207000000000 38381728 Prod: 1.0001858855840136450817949 Sumlog: 999980852.8191145157729715608407542 lastprime: 206999999953
207000000000 208000000000 38378715 Prod: 1.0001849751336699556800795 Sumlog: 1000087759.9517570904737672064424474 lastprime: 207999999983
208000000000 209000000000 38366296 Prod: 1.0001840283074315179019098 Sumlog: 999948593.8813952881882803120445492 lastprime: 208999999993
209000000000 210000000000 38361064 Prod: 1.0001831248361454212280517 Sumlog: 999995776.0678618741693009646452276 lastprime: 209999999971
210000000000 211000000000 38356487 Prod: 1.0001822330338885844231196 Sumlog: 1000059117.8316654371321888324297497 lastprime: 210999999971
211000000000 212000000000 38343670 Prod: 1.0001813107153357623160945 Sumlog: 999906668.4047270957872116079710615 lastprime: 211999999979
212000000000 213000000000 38340295 Prod: 1.0001804415183431585036949 Sumlog: 999999508.9970141415192784679732347 lastprime: 212999999977
213000000000 214000000000 38333768 Prod: 1.0001795656999925290205941 Sumlog: 1000009242.4895625369699500222495509 lastprime: 213999999973
214000000000 215000000000 38327963 Prod: 1.0001787013857815966889302 Sumlog: 1000036918.2552282715083520939428446 lastprime: 214999999961
215000000000 216000000000 38320731 Prod: 1.0001778385527758780270674 Sumlog: 1000026449.8782402587547049714219931 lastprime: 215999999987
216000000000 217000000000 38312785 Prod: 1.0001769803451295118827921 Sumlog: 999996463.5172725019052965569904230 lastprime: 216999999941
217000000000 218000000000 38306098 Prod: 1.0001761358255474594311937 Sumlog: 999998451.7845362512688970781707519 lastprime: 217999999961
218000000000 219000000000 38298111 Prod: 1.0001752930536725566792468 Sumlog: 999965632.8272569188111285052187331 lastprime: 218999999987
219000000000 220000000000 38290865 Prod: 1.0001744614014930220007634 Sumlog: 999951275.5580244619750532409917836 lastprime: 219999999977
220000000000 221000000000 38287519 Prod: 1.0001736549243459835056539 Sumlog: 1000037935.2987683377230561234808697 lastprime: 220999999999
221000000000 222000000000 38280734 Prod: 1.0001728402266349200628349 Sumlog: 1000033932.1969414763804923440289527 lastprime: 221999999989
222000000000 223000000000 38273959 Prod: 1.0001720328858636897826786 Sumlog: 1000029351.4820385411070622001194151 lastprime: 222999999983
223000000000 224000000000 38262534 Prod: 1.0001712119535714482134509 Sumlog: 999902421.5303642877871969333176319 lastprime: 223999999997
224000000000 225000000000 38262004 Prod: 1.0001704468789099520456295 Sumlog: 1000059386.3589384724667720581566095 lastprime: 224999999999
225000000000 226000000000 38249140 Prod: 1.0001696339089542042557816 Sumlog: 999893151.5388084994567039616180056 lastprime: 225999999991
226000000000 227000000000 38248170 Prod: 1.0001688806498127407762235 Sumlog: 1000037028.6894992724098837379900507 lastprime: 226999999957
227000000000 228000000000 38238636 Prod: 1.0001680963425033856086163 Sumlog: 999956204.2191085427337922589611975 lastprime: 227999999959
228000000000 229000000000 38237557 Prod: 1.0001673559380566842083040 Sumlog: 1000095689.3338744042409157362096552 lastprime: 228999999989
229000000000 230000000000 38222214 Prod: 1.0001665597266103651571627 Sumlog: 999861320.5140732454860285713296507 lastprime: 229999999981
230000000000 231000000000 38219353 Prod: 1.0001658246525120826005079 Sumlog: 999952649.8003495990515400516815952 lastprime: 230999999969
231000000000 232000000000 38212321 Prod: 1.0001650779072657357051306 Sumlog: 999934089.2668911719151481177336634 lastprime: 231999999967
232000000000 233000000000 38209558 Prod: 1.0001643559593542076990211 Sumlog: 1000026481.8415022226317316458794496 lastprime: 232999999997
233000000000 234000000000 38203684 Prod: 1.0001636268671566953567627 Sumlog: 1000036709.5585839564200586129996123 lastprime: 233999999939
234000000000 235000000000 38196269 Prod: 1.0001628974122445673853690 Sumlog: 1000005843.8823151677476314993318419 lastprime: 234999999967
235000000000 236000000000 38197686 Prod: 1.0001622116695711166610864 Sumlog: 1000205484.3183184446705106207455599 lastprime: 235999999897
236000000000 237000000000 38182063 Prod: 1.0001614596301271761591683 Sumlog: 999958191.8527921410751066405151849 lastprime: 236999999983
237000000000 238000000000 38181552 Prod: 1.0001607776057078197085291 Sumlog: 1000105909.8691454088807781762058252 lastprime: 237999999971
238000000000 239000000000 38171188 Prod: 1.0001600599631909856188638 Sumlog: 999994825.8674652215652512706736955 lastprime: 238999999999
239000000000 240000000000 38167979 Prod: 1.0001593782028669859879529 Sumlog: 1000070455.6726551768355654407157978 lastprime: 239999999999
240000000000 241000000000 38159483 Prod: 1.0001586801212852410094560 Sumlog: 1000006843.2805714213588651747124974 lastprime: 240999999997
241000000000 242000000000 38152834 Prod: 1.0001579954734954814970437 Sumlog: 999990909.9207703590856831328068168 lastprime: 241999999993
242000000000 243000000000 38145202 Prod: 1.0001573124017880135640974 Sumlog: 999948502.7552195207998428998212874 lastprime: 242999999951
243000000000 244000000000 38136230 Prod: 1.0001566294443030200469307 Sumlog: 999870249.5734500025028116743095047 lastprime: 243999999979
244000000000 245000000000 38135798 Prod: 1.0001559870296563813205742 Sumlog: 1000015214.1376834509054520690155606 lastprime: 244999999991
245000000000 246000000000 38130164 Prod: 1.0001553286414393461843683 Sumlog: 1000023110.2854645160038361860334576 lastprime: 245999999983
246000000000 247000000000 38124264 Prod: 1.0001546745100862157285052 Sumlog: 1000023352.0536019864207369357492961 lastprime: 246999999989
247000000000 248000000000 38113245 Prod: 1.0001540049760801531519742 Sumlog: 999888623.9406032043617813013727893 lastprime: 247999999997
248000000000 249000000000 38111216 Prod: 1.0001533770335057224394115 Sumlog: 999989065.6691285466843761775569468 lastprime: 248999999987
249000000000 250000000000 38101684 Prod: 1.0001527240409197458862651 Sumlog: 999891976.5493293370137231179089815 lastprime: 249999999973
250000000000 251000000000 38103320 Prod: 1.0001521208192923468203659 Sumlog: 1000087330.5383474905468859689094685 lastprime: 250999999997
251000000000 252000000000 38091875 Prod: 1.0001514704332110671531402 Sumlog: 999938690.2468884782625065694453834 lastprime: 251999999971
252000000000 253000000000 38088294 Prod: 1.0001508562946447984384060 Sumlog: 999995837.0673737332981691714170747 lastprime: 252999999991
253000000000 254000000000 38086342 Prod: 1.0001502534697568941553363 Sumlog: 1000095123.0260687420867251345554650 lastprime: 253999999999
254000000000 255000000000 38079478 Prod: 1.0001496360618799462108630 Sumlog: 1000064803.5592610968178315552313263 lastprime: 254999999993
255000000000 256000000000 38066721 Prod: 1.0001490004098782117513633 Sumlog: 999879056.2197571048352147368982092 lastprime: 255999999989
256000000000 257000000000 38063132 Prod: 1.0001484054808390824204058 Sumlog: 999933468.1981428220757861283963600 lastprime: 256999999987
257000000000 258000000000 38062024 Prod: 1.0001478248023723872021079 Sumlog: 1000052461.9534182942351272305994576 lastprime: 257999999989
258000000000 259000000000 38050676 Prod: 1.0001472089998885354067552 Sumlog: 999901784.1757683808582898860337174 lastprime: 258999999997
259000000000 260000000000 38052787 Prod: 1.0001466498028701237411516 Sumlog: 1000104182.4819610930155073462516433 lastprime: 259999999997
260000000000 261000000000 38040838 Prod: 1.0001460409457213292790496 Sumlog: 999936445.5277986459686329988665233 lastprime: 260999999999
261000000000 262000000000 38039123 Prod: 1.0001454758588046943770064 Sumlog: 1000037112.4414976059903016285703568 lastprime: 261999999949
262000000000 263000000000 38033974 Prod: 1.0001449020339320392709652 Sumlog: 1000046907.4935751686256526638780570 lastprime: 262999999981
263000000000 264000000000 38027336 Prod: 1.0001443268902845278009237 Sumlog: 1000016960.6572857848782362836527042 lastprime: 263999999951
264000000000 265000000000 38018347 Prod: 1.0001437471752008103783347 Sumlog: 999924590.0207963873706885572394226 lastprime: 264999999983
265000000000 266000000000 38014449 Prod: 1.0001431910336956925513063 Sumlog: 999965518.6014979832401645371463360 lastprime: 265999999931
266000000000 267000000000 38009570 Prod: 1.0001426353722514698443105 Sumlog: 999980073.0348142219280478812838336 lastprime: 266999999999
267000000000 268000000000 38004821 Prod: 1.0001420843526133800153161 Sumlog: 999997476.0236485181369578830116688 lastprime: 267999999989
268000000000 269000000000 37999495 Prod: 1.0001415352841795468627332 Sumlog: 999999129.1277303795730646795053878 lastprime: 268999999951
269000000000 270000000000 37995944 Prod: 1.0001409969170017029676335 Sumlog: 1000046922.6515214806774340659676793 lastprime: 269999999999
270000000000 271000000000 37991142 Prod: 1.0001404578557593804879745 Sumlog: 1000061249.3090313130622774251403051 lastprime: 270999999961
271000000000 272000000000 37984312 Prod: 1.0001399153389998299577650 Sumlog: 1000021617.7150838765776993257933067 lastprime: 271999999993
272000000000 273000000000 37977592 Prod: 1.0001393771834819999759054 Sumlog: 999984323.5923604068228685332167205 lastprime: 272999999999
273000000000 274000000000 37971108 Prod: 1.0001388438476662570970322 Sumlog: 999952677.8947271174143117147531322 lastprime: 273999999997
274000000000 275000000000 37967751 Prod: 1.0001383257591156722650151 Sumlog: 1000002845.5747596484704527297090009 lastprime: 274999999973
275000000000 276000000000 37960837 Prod: 1.0001377985478071709887492 Sumlog: 999958779.0173798064426632497475201 lastprime: 275999999981
276000000000 277000000000 37958768 Prod: 1.0001372926564343155279037 Sumlog: 1000041811.1631507020874590477077595 lastprime: 276999999967
277000000000 278000000000 37953812 Prod: 1.0001367799882465282173516 Sumlog: 1000048267.0470147683384790256190989 lastprime: 277999999973
278000000000 279000000000 37944956 Prod: 1.0001362570336620803145396 Sumlog: 999951408.5152572044588006879486284 lastprime: 278999999987
279000000000 280000000000 37940323 Prod: 1.0001357529294737414622503 Sumlog: 999965300.5584156703786718045685968 lastprime: 279999999997
280000000000 281000000000 37936875 Prod: 1.0001352566324789043092521 Sumlog: 1000009913.7128889715124219155542039 lastprime: 280999999993
281000000000 282000000000 37929756 Prod: 1.0001347508151976566329030 Sumlog: 999957241.2080496879466850223654774 lastprime: 281999999989
282000000000 283000000000 37930314 Prod: 1.0001342757494263210493590 Sumlog: 1000106460.9384687291125987291450323 lastprime: 282999999983
283000000000 284000000000 37922194 Prod: 1.0001337734397213346761231 Sumlog: 1000026361.0118246627465316235773166 lastprime: 283999999993
284000000000 285000000000 37920991 Prod: 1.0001332989620593727635023 Sumlog: 1000128165.3184693165773167863107176 lastprime: 284999999993
285000000000 286000000000 37908514 Prod: 1.0001327883278578451534918 Sumlog: 999932108.8498450982110257770766512 lastprime: 285999999991
286000000000 287000000000 37902228 Prod: 1.0001323028756994023398172 Sumlog: 999898823.2035426997948681667860366 lastprime: 286999999981
287000000000 288000000000 37898901 Prod: 1.0001318310997537799116009 Sumlog: 999943102.0712171083422528702545722 lastprime: 287999999999
288000000000 289000000000 37894050 Prod: 1.0001313572661337989064218 Sumlog: 999946697.0755782517799032394720611 lastprime: 288999999997
289000000000 290000000000 37892370 Prod: 1.0001308976926560686789782 Sumlog: 1000033481.2087256499780436271251616 lastprime: 289999999987
290000000000 291000000000 37884953 Prod: 1.0001304215414006897401513 Sumlog: 999968371.5447089013083782843136167 lastprime: 290999999971
291000000000 292000000000 37882717 Prod: 1.0001299664276296849734771 Sumlog: 1000039533.1303099110854812302526022 lastprime: 291999999997
292000000000 293000000000 37875809 Prod: 1.0001294984377246443017637 Sumlog: 999986888.6136734321788854659482878 lastprime: 292999999979
293000000000 294000000000 37871143 Prod: 1.0001290413081739439682621 Sumlog: 999992945.3134871703425437045940410 lastprime: 293999999981
294000000000 295000000000 37865924 Prod: 1.0001285853859878150757896 Sumlog: 999983932.3336715868504789764133282 lastprime: 294999999971
295000000000 296000000000 37861275 Prod: 1.0001281344693294082481938 Sumlog: 999989504.9637107307352385746454545 lastprime: 295999999957
296000000000 297000000000 37856718 Prod: 1.0001276869311664799093440 Sumlog: 999997034.9264922206214009067663076 lastprime: 296999999987
297000000000 298000000000 37849594 Prod: 1.0001272337469071319122475 Sumlog: 999936294.2970469458008670265756455 lastprime: 297999999967
298000000000 299000000000 37852058 Prod: 1.0001268157226186223790122 Sumlog: 1000128413.0053484678820190752029351 lastprime: 298999999999
299000000000 300000000000 37844000 Prod: 1.0001263653742921006428980 Sumlog: 1000042069.3681215199608539956863252 lastprime: 299999999989
300000000000 301000000000 37837198 Prod: 1.0001259221735830779583766 Sumlog: 999988453.5453431490669117608772527 lastprime: 300999999973
301000000000 302000000000 37830913 Prod: 1.0001254836493412348700237 Sumlog: 999948032.3683663283310350275648637 lastprime: 301999999999
302000000000 303000000000 37828701 Prod: 1.0001250615072597222147358 Sumlog: 1000014819.5113443782198319029778340 lastprime: 302999999959
303000000000 304000000000 37824396 Prod: 1.0001246352125531355748492 Sumlog: 1000025853.9367765877371072286302496 lastprime: 303999999967
304000000000 305000000000 37819626 Prod: 1.0001242102009208733159438 Sumlog: 1000024150.7426158024538955063343737 lastprime: 304999999999
305000000000 306000000000 37810524 Prod: 1.0001237737969432826697646 Sumlog: 999907445.5623414068987317173162900 lastprime: 305999999957
306000000000 307000000000 37809854 Prod: 1.0001233677550702249439212 Sumlog: 1000013289.1997949825390977017480149 lastprime: 306999999997
307000000000 308000000000 37802621 Prod: 1.0001229430219342334126256 Sumlog: 999945119.0979167118003389253556437 lastprime: 307999999903
308000000000 309000000000 37801080 Prod: 1.0001225394850078071840001 Sumlog: 1000027087.1451165190661602001647033 lastprime: 308999999993
309000000000 310000000000 37799510 Prod: 1.0001221384759989580571439 Sumlog: 1000107876.4537328757191054841896077 lastprime: 309999999983
310000000000 311000000000 37792360 Prod: 1.0001217220170012995413917 Sumlog: 1000040624.7241257348328800749582648 lastprime: 310999999963
311000000000 312000000000 37783760 Prod: 1.0001213036522164225062539 Sumlog: 999934537.6281143569386104813498264 lastprime: 311999999933
312000000000 313000000000 37782648 Prod: 1.0001209118841876506802570 Sumlog: 1000026211.5394852548438978943553574 lastprime: 312999999989
313000000000 314000000000 37773922 Prod: 1.0001204983375141823763739 Sumlog: 999915937.0170445858908590868614386 lastprime: 313999999949
314000000000 315000000000 37773096 Prod: 1.0001201125577749829568268 Sumlog: 1000014364.4552901858860068540832707 lastprime: 314999999999
315000000000 316000000000 37767432 Prod: 1.0001197138804994596193638 Sumlog: 999984309.1645261952272227342383095 lastprime: 315999999949
316000000000 317000000000 37764039 Prod: 1.0001193248942414474071338 Sumlog: 1000013977.4384134011133552180133501 lastprime: 316999999973
317000000000 318000000000 37762670 Prod: 1.0001189447278741590448387 Sumlog: 1000096852.3194823703898655282606650 lastprime: 317999999981
318000000000 319000000000 37752203 Prod: 1.0001185383786017966048838 Sumlog: 999938366.8151334971956904458311118 lastprime: 318999999979
319000000000 320000000000 37752692 Prod: 1.0001181688681748354361501 Sumlog: 1000069668.1575993635429179041892119 lastprime: 319999999973
320000000000 321000000000 37747114 Prod: 1.0001177827495441130728904 Sumlog: 1000039863.0734691914893369049472673 lastprime: 320999999923
321000000000 322000000000 37743192 Prod: 1.0001174041682810852499942 Sumlog: 1000053538.7318681023302932864583683 lastprime: 321999999967
322000000000 323000000000 37736817 Prod: 1.0001170203167106984403561 Sumlog: 1000001825.4810042969161041760035807 lastprime: 322999999969
323000000000 324000000000 37733421 Prod: 1.0001166480828796269639794 Sumlog: 1000028649.4656902116723530716182286 lastprime: 323999999971
324000000000 325000000000 37724403 Prod: 1.0001162607988351085316892 Sumlog: 999906083.3349837533843534356137358 lastprime: 324999999949
325000000000 326000000000 37727961 Prod: 1.0001159145298990364440608 Sumlog: 1000116477.5376546768024507165469318 lastprime: 325999999993
326000000000 327000000000 37718600 Prod: 1.0001155308031478302053879 Sumlog: 999984034.9654334519888333029945373 lastprime: 326999999981
327000000000 328000000000 37716934 Prod: 1.0001151729324148756547982 Sumlog: 1000055207.8036153290957268481748636 lastprime: 327999999997
328000000000 329000000000 37705477 Prod: 1.0001147874335689479033799 Sumlog: 999866382.4970344886193216987767621 lastprime: 328999999931
329000000000 330000000000 37713928 Prod: 1.0001144646879812950154709 Sumlog: 1000205119.0870990519377065899853174 lastprime: 329999999993
330000000000 331000000000 37704992 Prod: 1.0001140912920438548083407 Sumlog: 1000082385.5069293332258206531386979 lastprime: 330999999991
331000000000 332000000000 37696129 Prod: 1.0001137203590390891607177 Sumlog: 999961192.5115731250456537648169179 lastprime: 331999999999
332000000000 333000000000 37689401 Prod: 1.0001133580876583172934726 Sumlog: 999896241.5269385307755077644401830 lastprime: 332999999971
333000000000 334000000000 37688815 Prod: 1.0001130164171685527141853 Sumlog: 999993871.1746145613601935712207549 lastprime: 333999999953
334000000000 335000000000 37686035 Prod: 1.0001126702156700773639546 Sumlog: 1000032943.4310796435365757380175765 lastprime: 334999999981
335000000000 336000000000 37679279 Prod: 1.0001123142370454330106596 Sumlog: 999966139.8555639592198274966473241 lastprime: 335999999999
336000000000 337000000000 37676339 Prod: 1.0001119716857973319654398 Sumlog: 1000000255.1270145382127258387405369 lastprime: 336999999997
337000000000 338000000000 37671490 Prod: 1.0001116255497447198146218 Sumlog: 999983331.9051305160431605620026873 lastprime: 337999999969
338000000000 339000000000 37666580 Prod: 1.0001112812566134287895658 Sumlog: 999964437.2822497972571781661596537 lastprime: 338999999999
339000000000 340000000000 37665527 Prod: 1.0001109503298708183272638 Sumlog: 1000047599.2924648106541082158501825 lastprime: 339999999973
340000000000 341000000000 37660762 Prod: 1.0001106104858038076950118 Sumlog: 1000031846.8724289479962233557202349 lastprime: 340999999957
341000000000 342000000000 37651486 Prod: 1.0001102594248920993275925 Sumlog: 999895943.5340800860561732393849198 lastprime: 341999999989
342000000000 343000000000 37651292 Prod: 1.0001099369075495975691558 Sumlog: 1000000885.7320575049220799603337399 lastprime: 342999999997
343000000000 344000000000 37643525 Prod: 1.0001095942159496894716223 Sumlog: 999904349.4671404936122694264003760 lastprime: 343999999999
344000000000 345000000000 37638714 Prod: 1.0001092621060186894923743 Sumlog: 999885972.5104386769167046737116432 lastprime: 344999999987
345000000000 346000000000 37641374 Prod: 1.0001089535442567055120539 Sumlog: 1000065742.1236307088515622584882521 lastprime: 345999999977
346000000000 347000000000 37635226 Prod: 1.0001086213442080571241697 Sumlog: 1000011171.9851268311241964641178910 lastprime: 346999999987
347000000000 348000000000 37634353 Prod: 1.0001083062264911185100717 Sumlog: 1000096434.8042149058247089182840681 lastprime: 347999999983
348000000000 349000000000 37626492 Prod: 1.0001079728801551436427107 Sumlog: 999995655.7274130086409577058703062 lastprime: 348999999973
349000000000 350000000000 37622272 Prod: 1.0001076518572499006450204 Sumlog: 999991299.7558519952818270481623582 lastprime: 349999999967
350000000000 351000000000 37620410 Prod: 1.0001073393788005620795040 Sumlog: 1000049298.9717220539225097572348201 lastprime: 350999999993
351000000000 352000000000 37617043 Prod: 1.0001070244136136298010414 Sumlog: 1000066964.1077003312573921104954903 lastprime: 351999999919
352000000000 353000000000 37605311 Prod: 1.0001066875048375700413936 Sumlog: 999861893.5435283671173187159056783 lastprime: 352999999991
353000000000 354000000000 37607056 Prod: 1.0001063906278839216249956 Sumlog: 1000014823.7349792095177288448268615 lastprime: 353999999989
354000000000 355000000000 37599463 Prod: 1.0001060690701015529501349 Sumlog: 999919132.4657245049811456629475714 lastprime: 354999999947
355000000000 356000000000 37598830 Prod: 1.0001057689027813440791467 Sumlog: 1000008212.4136142743273081205798305 lastprime: 355999999991
356000000000 357000000000 37598190 Prod: 1.0001054703987503373948087 Sumlog: 1000096805.4978520421645253596684015 lastprime: 356999999989
357000000000 358000000000 37584266 Prod: 1.0001051364088764799769208 Sumlog: 999831710.6877871440981462685051934 lastprime: 357999999967
358000000000 359000000000 37587132 Prod: 1.0001048511170147929293691 Sumlog: 1000012946.6739475760347445366854579 lastprime: 358999999999
359000000000 360000000000 37588189 Prod: 1.0001045623959522890317301 Sumlog: 1000145766.5756818526382512620292650 lastprime: 359999999941
360000000000 361000000000 37576184 Prod: 1.0001042390149999632566561 Sumlog: 999930720.7930108880478381670641784 lastprime: 360999999977
361000000000 362000000000 37569710 Prod: 1.0001039327388434827352424 Sumlog: 999862513.6908122285894468241616693 lastprime: 361999999901
362000000000 363000000000 37570291 Prod: 1.0001036476284540731225325 Sumlog: 999981756.9343505922854831338991938 lastprime: 362999999981
363000000000 364000000000 37567183 Prod: 1.0001033539239995752805733 Sumlog: 1000002524.6293529452221665782418799 lastprime: 363999999977
364000000000 365000000000 37564731 Prod: 1.0001030636249119336099370 Sumlog: 1000040457.0560815198374842293366167 lastprime: 364999999981
365000000000 366000000000 37556313 Prod: 1.0001027585941571849950794 Sumlog: 999919249.7682198468431808285183974 lastprime: 365999999993
366000000000 367000000000 37557220 Prod: 1.0001024806812300406927522 Sumlog: 1000046011.8940859748181048666346678 lastprime: 366999999991
367000000000 368000000000 37552534 Prod: 1.0001021890595599007462574 Sumlog: 1000023558.0804779398012225304928648 lastprime: 367999999999
368000000000 369000000000 37549985 Prod: 1.0001019047983296739366828 Sumlog: 1000057722.9751014411333732081220783 lastprime: 368999999861
369000000000 370000000000 37545967 Prod: 1.0001016181272076243576999 Sumlog: 1000052459.9436249904822989110780080 lastprime: 369999999997
370000000000 371000000000 37540267 Prod: 1.0001013284528370406825775 Sumlog: 1000002098.7491964921413641980811664 lastprime: 370999999973
371000000000 372000000000 37537785 Prod: 1.0001010490109182752824780 Sumlog: 1000037159.7993083324839996405945485 lastprime: 371999999977
372000000000 373000000000 37534820 Prod: 1.0001007697604563078341853 Sumlog: 1000059071.2324328604492597919235447 lastprime: 372999999989
373000000000 374000000000 37523321 Prod: 1.0001004691556724342855432 Sumlog: 999853297.2131808518689103143541843 lastprime: 373999999993
374000000000 375000000000 37524576 Prod: 1.0001002042123544935783140 Sumlog: 999987073.4730613116544370448815842 lastprime: 374999999989
375000000000 376000000000 37517586 Prod: 1.0000999187235923419328867 Sumlog: 999900845.9648603073115986754573183 lastprime: 375999999979
376000000000 377000000000 37519045 Prod: 1.0000996572054235290855217 Sumlog: 1000039512.2676536254943502989211899 lastprime: 376999999949
377000000000 378000000000 37515350 Prod: 1.0000993834134652789682460 Sumlog: 1000040534.2077229484957102660784658 lastprime: 377999999987
378000000000 379000000000 37511485 Prod: 1.0000991106000372022228351 Sumlog: 1000036748.4279910911206242354078932 lastprime: 378999999979
379000000000 380000000000 37508495 Prod: 1.0000988415604336676727071 Sumlog: 1000055998.3178796753283469774393797 lastprime: 379999999993
380000000000 381000000000 37500914 Prod: 1.0000985618480549825199790 Sumlog: 999952561.7766028603109752270209811 lastprime: 380999999981
381000000000 382000000000 37500807 Prod: 1.0000983032066375970765453 Sumlog: 1000048133.9591509600722859546571916 lastprime: 381999999991
382000000000 383000000000 37494530 Prod: 1.0000980297867896165169121 Sumlog: 999978893.5061839757295537520651548 lastprime: 382999999981
383000000000 384000000000 37485820 Prod: 1.0000977514292694032765106 Sumlog: 999844476.7327449979548293566501928 lastprime: 383999999993
384000000000 385000000000 37488254 Prod: 1.0000975035189328029486706 Sumlog: 1000007023.0851169893917290307929401 lastprime: 384999999899
385000000000 386000000000 37482861 Prod: 1.0000972365788789717824939 Sumlog: 999960525.3628237961928596299768933 lastprime: 385999999997
386000000000 387000000000 37482778 Prod: 1.0000969847783769871737377 Sumlog: 1000055413.3407625148999716865478703 lastprime: 386999999921
387000000000 388000000000 37475352 Prod: 1.0000967153188586185128011 Sumlog: 999954119.6166955241111189652793760 lastprime: 387999999979
388000000000 389000000000 37470822 Prod: 1.0000964546873211467845668 Sumlog: 999929824.9233090732234012004593832 lastprime: 388999999967
389000000000 390000000000 37473687 Prod: 1.0000962144001956122904776 Sumlog: 1000102610.2200038871541022664019472 lastprime: 389999999927
390000000000 391000000000 37464637 Prod: 1.0000959448301186574458007 Sumlog: 999957143.0443624105548920476170248 lastprime: 390999999997
391000000000 392000000000 37461022 Prod: 1.0000956905120225817384132 Sumlog: 999956465.1934786730461992377276309 lastprime: 391999999999
392000000000 393000000000 37459885 Prod: 1.0000954438060166440277873 Sumlog: 1000021675.8184114199112010094243592 lastprime: 392999999999
393000000000 394000000000 37458129 Prod: 1.0000951967640551998857748 Sumlog: 1000070117.7885746514530044864704030 lastprime: 393999999947
394000000000 395000000000 37451679 Prod: 1.0000949391023160838105051 Sumlog: 999992964.1324034510943916777021662 lastprime: 394999999997
395000000000 396000000000 37449153 Prod: 1.0000946926624802228030391 Sumlog: 1000020322.7989543434488334042674886 lastprime: 395999999981
396000000000 397000000000 37443699 Prod: 1.0000944400740503641767725 Sumlog: 999969236.8210303969091681457679229 lastprime: 396999999953
397000000000 398000000000 37438621 Prod: 1.0000941896985879796955096 Sumlog: 999927929.1233727326579193475099396 lastprime: 397999999963
398000000000 399000000000 37435459 Prod: 1.0000939453918895923504531 Sumlog: 999937535.7125364223424043361573403 lastprime: 398999999989
399000000000 400000000000 37432500 Prod: 1.0000937028144678424291301 Sumlog: 999952314.3395694976223367874641971 lastprime: 399999999977
400000000000 401000000000 37429221 Prod: 1.0000934606545082376971530 Sumlog: 999958292.4548244922317194309622920 lastprime: 400999999991
401000000000 402000000000 37426318 Prod: 1.0000932206320441699070359 Sumlog: 999974069.1658814005892642425633631 lastprime: 401999999981
402000000000 403000000000 37424357 Prod: 1.0000929841369736961157620 Sumlog: 1000014772.7728906961500917387472683 lastprime: 402999999973
403000000000 404000000000 37419294 Prod: 1.0000927411320998755789305 Sumlog: 999972336.9397249550554835402695798 lastprime: 403999999987
404000000000 405000000000 37420002 Prod: 1.0000925136076902147564454 Sumlog: 1000083877.1727074119252701876112086 lastprime: 404999999981
405000000000 406000000000 37418398 Prod: 1.0000922814897352442553013 Sumlog: 1000133401.7137056307456204204157164 lastprime: 405999999973
406000000000 407000000000 37412033 Prod: 1.0000920388145815479262265 Sumlog: 1000055419.5219380277068530933639728 lastprime: 406999999981
407000000000 408000000000 37403091 Prod: 1.0000917909792672437959445 Sumlog: 999908298.7757144812208026222364930 lastprime: 407999999987
408000000000 409000000000 37401317 Prod: 1.0000915619347942134879821 Sumlog: 999952539.1081278896854942737043047 lastprime: 408999999971
409000000000 410000000000 37403875 Prod: 1.0000913445732488820183875 Sumlog: 1000112382.8650305525482213786549360 lastprime: 409999999991
410000000000 411000000000 37391975 Prod: 1.0000910930504462648914487 Sumlog: 999885398.4800908480920424936740310 lastprime: 410999999989
411000000000 412000000000 37393823 Prod: 1.0000908761701830561325483 Sumlog: 1000025794.9313784618547408919281751 lastprime: 411999999991
412000000000 413000000000 37392395 Prod: 1.0000906523825159759094960 Sumlog: 1000078368.0532202952172794697160116 lastprime: 412999999943
413000000000 414000000000 37385990 Prod: 1.0000904176585992657150869 Sumlog: 999997582.3687859807368780073820624 lastprime: 413999999969
414000000000 415000000000 37381816 Prod: 1.0000901894313423630860133 Sumlog: 999976234.8616178507639789667890826 lastprime: 414999999989
415000000000 416000000000 37377121 Prod: 1.0000899610575044881652460 Sumlog: 999940707.7916249334826053489520614 lastprime: 415999999999
416000000000 417000000000 37377137 Prod: 1.0000897450942957421931788 Sumlog: 1000030984.3044406702715961248086172 lastprime: 416999999951
417000000000 418000000000 37374099 Prod: 1.0000895228416789144049526 Sumlog: 1000039331.3717816787967828835643226 lastprime: 417999999973
418000000000 419000000000 37368800 Prod: 1.0000892962666971567572182 Sumlog: 999986937.4722654559406734983515024 lastprime: 418999999997
419000000000 420000000000 37365106 Prod: 1.0000890745858819223167495 Sumlog: 999977263.6354438647473165044644786 lastprime: 419999999989
420000000000 421000000000 37363748 Prod: 1.0000888595168106980709334 Sumlog: 1000029881.5771034370923092232939198 lastprime: 420999999983
421000000000 422000000000 37359429 Prod: 1.0000886384437981666890903 Sumlog: 1000003023.9660414051132061466635355 lastprime: 421999999957
422000000000 423000000000 37352498 Prod: 1.0000884122294044803415770 Sumlog: 999906015.9273210249060375515465404 lastprime: 422999999999
423000000000 424000000000 37354542 Prod: 1.0000882082798873795691519 Sumlog: 1000049041.9766847316154108743940691 lastprime: 423999999919
424000000000 425000000000 37350822 Prod: 1.0000879917182999652236435 Sumlog: 1000037540.2755650084132223815558266 lastprime: 424999999999
425000000000 426000000000 37345258 Prod: 1.0000877718367386488096514 Sumlog: 999976439.4792491378140284599704832 lastprime: 425999999983
426000000000 427000000000 37344059 Prod: 1.0000875632228056493715574 Sumlog: 1000031995.5863296137046310993271532 lastprime: 426999999973
427000000000 428000000000 37340284 Prod: 1.0000873495489781547602480 Sumlog: 1000018356.4760823702936361665519735 lastprime: 427999999937
428000000000 429000000000 37335748 Prod: 1.0000871351062086989552891 Sumlog: 999984108.8935127777576828770508941 lastprime: 428999999993
429000000000 430000000000 37332200 Prod: 1.0000869239554390499594394 Sumlog: 999976104.3328408427617470027652827 lastprime: 429999999967
430000000000 431000000000 37337787 Prod: 1.0000867350134347231732756 Sumlog: 1000212588.4447614543770079666587846 lastprime: 430999999999
431000000000 432000000000 37326971 Prod: 1.0000865089326493912422678 Sumlog: 1000009450.7872309107921612197843857 lastprime: 431999999989
432000000000 433000000000 37326084 Prod: 1.0000863068497663422835119 Sumlog: 1000072091.6603400614546124652659743 lastprime: 432999999973
433000000000 434000000000 37321099 Prod: 1.0000860962424615132171176 Sumlog: 1000024723.4963481318206323797263732 lastprime: 433999999949
434000000000 435000000000 37317865 Prod: 1.0000858906425067750088694 Sumlog: 1000024052.7826294430086242568240380 lastprime: 434999999989
435000000000 436000000000 37312209 Prod: 1.0000856804227660036874793 Sumlog: 999958261.4197994638873659401003820 lastprime: 435999999989
436000000000 437000000000 37309259 Prod: 1.0000854773629209434030333 Sumlog: 999964775.1061339846288812100022888 lastprime: 436999999939
437000000000 438000000000 37310496 Prod: 1.0000852848095979546139042 Sumlog: 1000083306.1329838229790429025780944 lastprime: 437999999981
438000000000 439000000000 37301422 Prod: 1.0000850696049572110906201 Sumlog: 999925250.6162023159542945858431907 lastprime: 438999999973
439000000000 440000000000 37299641 Prod: 1.0000848719903827137065307 Sumlog: 999962470.2687765288155690933433898 lastprime: 439999999991
440000000000 441000000000 37298462 Prod: 1.0000846766442611462997434 Sumlog: 1000015627.0874765547293743005635417 lastprime: 440999999987
441000000000 442000000000 37295853 Prod: 1.0000844789195735657849762 Sumlog: 1000030253.8289305423142105137302208 lastprime: 441999999977
442000000000 443000000000 37286193 Prod: 1.0000842661701634339056305 Sumlog: 999855592.1823798179145097347699002 lastprime: 442999999963
443000000000 444000000000 37288056 Prod: 1.0000840803661104947496657 Sumlog: 999989719.0704291070100754599855955 lastprime: 443999999999
444000000000 445000000000 37289403 Prod: 1.0000838942192588287170849 Sumlog: 1000109833.5041060046996197089530881 lastprime: 444999999991
445000000000 446000000000 37280038 Prod: 1.0000836848882048037335009 Sumlog: 999942431.0170379109981066295286835 lastprime: 445999999919
446000000000 447000000000 37276907 Prod: 1.0000834904361771953268191 Sumlog: 999942033.5819320905264903411563212 lastprime: 446999999989
447000000000 448000000000 37277600 Prod: 1.0000833053985851658580166 Sumlog: 1000044021.6458752726130878982255880 lastprime: 447999999991
448000000000 449000000000 37269788 Prod: 1.0000831022349324083825978 Sumlog: 999917638.4497342722075808456843878 lastprime: 448999999991
449000000000 450000000000 37272780 Prod: 1.0000829240059676960151863 Sumlog: 1000080924.7021439901251907902188538 lastprime: 449999999987
450000000000 451000000000 37269655 Prod: 1.0000827329953491098577145 Sumlog: 1000079895.6161191027377500270459494 lastprime: 450999999991
451000000000 452000000000 37263493 Prod: 1.0000825360947617646148122 Sumlog: 999997172.6732271894934714099522779 lastprime: 451999999987
452000000000 453000000000 37261492 Prod: 1.0000823492696188505397587 Sumlog: 1000025908.8036259382763078015911933 lastprime: 452999999999
453000000000 454000000000 37254596 Prod: 1.0000821524650007373110625 Sumlog: 999923074.9844366432349145501376130 lastprime: 453999999983
454000000000 455000000000 37251847 Prod: 1.0000819656485243984490644 Sumlog: 999931346.6642283919775060401659925 lastprime: 454999999997
455000000000 456000000000 37251955 Prod: 1.0000817859371760187091759 Sumlog: 1000016115.6064282820315439392432084 lastprime: 455999999977
456000000000 457000000000 37249374 Prod: 1.0000816011142391678738486 Sumlog: 1000028517.9448693122241953108757856 lastprime: 456999999979
457000000000 458000000000 37241577 Prod: 1.0000814056985607017986148 Sumlog: 999900685.0350925633386393376044890 lastprime: 457999999993
458000000000 459000000000 37244689 Prod: 1.0000812349392755381055615 Sumlog: 1000065555.9193326449674454205678726 lastprime: 458999999999
459000000000 460000000000 37239182 Prod: 1.0000810461497023006131757 Sumlog: 999998820.4630595169838178799162711 lastprime: 459999999997
460000000000 461000000000 37236893 Prod: 1.0000808651814612780688131 Sumlog: 1000018300.0487408271465137311621593 lastprime: 460999999979
461000000000 462000000000 37234001 Prod: 1.0000806836882600746478370 Sumlog: 1000021400.0495701993487907264614460 lastprime: 461999999971
462000000000 463000000000 37228441 Prod: 1.0000804971964414814022375 Sumlog: 999952657.0915544850176811959148740 lastprime: 462999999977
463000000000 464000000000 37228916 Prod: 1.0000803245400421687447459 Sumlog: 1000045824.4253020084628528237666721 lastprime: 463999999963
464000000000 465000000000 37224396 Prod: 1.0000801418744199696950961 Sumlog: 1000004632.9100988278875365242102814 lastprime: 464999999903
465000000000 466000000000 37219135 Prod: 1.0000799584076169258459696 Sumlog: 999943338.6575371134054252536544921 lastprime: 465999999989
466000000000 467000000000 37216256 Prod: 1.0000797808218153998166017 Sumlog: 999945856.5135846333492523619321311 lastprime: 466999999997
467000000000 468000000000 37218273 Prod: 1.0000796144849525642986744 Sumlog: 1000079742.4893547585057168464537957 lastprime: 467999999959
468000000000 469000000000 37211424 Prod: 1.0000794299130112364623188 Sumlog: 999975221.6556310276708546743712500 lastprime: 468999999989
469000000000 470000000000 37210852 Prod: 1.0000792595102987601117389 Sumlog: 1000039190.2157192461750808596816056 lastprime: 469999999949
470000000000 471000000000 37207124 Prod: 1.0000790831241093799224886 Sumlog: 1000018163.3170620873081310188750201 lastprime: 470999999993
471000000000 472000000000 37199414 Prod: 1.0000788990383059692209567 Sumlog: 999889920.4207033842619164431656405 lastprime: 471999999931
472000000000 473000000000 37203113 Prod: 1.0000787398794611824718911 Sumlog: 1000068166.3830518895636079739168691 lastprime: 472999999999
473000000000 474000000000 37200268 Prod: 1.0000785675687294051684206 Sumlog: 1000070337.5084254907653018890378823 lastprime: 473999999987
474000000000 475000000000 37190054 Prod: 1.0000783804520639762239506 Sumlog: 999874211.7163376868176530053701393 lastprime: 474999999949
475000000000 476000000000 37192519 Prod: 1.0000782207954111127386132 Sumlog: 1000018782.9957379050817569248857512 lastprime: 475999999991
476000000000 477000000000 37184089 Prod: 1.0000780389464466524331996 Sumlog: 999870234.6101275049192160149531384 lastprime: 476999999941
477000000000 478000000000 37186999 Prod: 1.0000778815987851477022112 Sumlog: 1000026445.6510704118507860836453496 lastprime: 477999999989
478000000000 479000000000 37182438 Prod: 1.0000777092928149353803558 Sumlog: 999981581.9675464392485198044176939 lastprime: 478999999927
479000000000 480000000000 37177070 Prod: 1.0000775360344365157546870 Sumlog: 999914825.9884808732006765587617420 lastprime: 479999999959
480000000000 481000000000 37183419 Prod: 1.0000773878688597267592661 Sumlog: 1000163058.2294615516674664902989268 lastprime: 480999999989
481000000000 482000000000 37170517 Prod: 1.0000772003448034836097646 Sumlog: 999893295.5914443270511904072941173 lastprime: 481999999939
482000000000 483000000000 37174939 Prod: 1.0000770495040807206639058 Sumlog: 1000089374.2525593436385658817194986 lastprime: 482999999987
483000000000 484000000000 37167671 Prod: 1.0000768751051524665218592 Sumlog: 999970801.2793375972950048688165622 lastprime: 483999999949
484000000000 485000000000 37162646 Prod: 1.0000767060524259536538642 Sumlog: 999912392.0168931471392571570611554 lastprime: 484999999973
485000000000 486000000000 37165059 Prod: 1.0000765530264168421437717 Sumlog: 1000053944.4327199135133922382237062 lastprime: 485999999987
486000000000 487000000000 37159245 Prod: 1.0000763837117032081270862 Sumlog: 999973959.2966451414876058491354239 lastprime: 486999999973
487000000000 488000000000 37160342 Prod: 1.0000762292760229515601935 Sumlog: 1000079782.5765831935066264146345656 lastprime: 487999999999
488000000000 489000000000 37149856 Prod: 1.0000760517540068880036441 Sumlog: 999873704.7976543025440402065556044 lastprime: 488999999981
489000000000 490000000000 37154387 Prod: 1.0000759056388343930213910 Sumlog: 1000071635.2980217396586988644491508 lastprime: 489999999961
490000000000 491000000000 37149576 Prod: 1.0000757410698694150834943 Sumlog: 1000017955.9526064968005829545139189 lastprime: 490999999991
491000000000 492000000000 37150202 Prod: 1.0000755882396095131705385 Sumlog: 1000110467.5659010403509389599049940 lastprime: 491999999963
492000000000 493000000000 37140630 Prod: 1.0000754153216832079509104 Sumlog: 999928269.7108954451373289809890180 lastprime: 492999999917
493000000000 494000000000 37141093 Prod: 1.0000752634311523215623758 Sumlog: 1000016074.7033273920694080703244436 lastprime: 493999999973
494000000000 495000000000 37135439 Prod: 1.0000750997895670103543332 Sumlog: 999939014.9823220698944662933380159 lastprime: 494999999983
495000000000 496000000000 37135347 Prod: 1.0000749480461957695090025 Sumlog: 1000011552.8482637054547135385629750 lastprime: 495999999961
496000000000 497000000000 37132319 Prod: 1.0000747909781070131639604 Sumlog: 1000004881.1173574147736896234467590 lastprime: 496999999961
497000000000 498000000000 37126876 Prod: 1.0000746296924389307217888 Sumlog: 999933000.9124364440998377278309325 lastprime: 497999999963
498000000000 499000000000 37126885 Prod: 1.0000744800006406319199183 Sumlog: 1000007793.1761569635019499743106169 lastprime: 498999999991
499000000000 500000000000 37121833 Prod: 1.0000743207701124149288882 Sumlog: 999946111.1710327491266255858687138 lastprime: 499999999979
500000000000 501000000000 37123274 Prod: 1.0000741751510371653907432 Sumlog: 1000059173.6808588941601713175758990 lastprime: 500999999921
501000000000 502000000000 37116126 Prod: 1.0000740129870551490142394 Sumlog: 999940697.5083107859973314587068521 lastprime: 501999999973
502000000000 503000000000 37116272 Prod: 1.0000738659839116977693434 Sumlog: 1000018567.0416307978804792615615266 lastprime: 502999999949
503000000000 504000000000 37113307 Prod: 1.0000737133804732271618232 Sumlog: 1000012467.2725863669380007414782391 lastprime: 503999999981
504000000000 505000000000 37115074 Prod: 1.0000735707670751457690675 Sumlog: 1000133719.3411586519434577996008141 lastprime: 504999999989
505000000000 506000000000 37103980 Prod: 1.0000734032730745235168312 Sumlog: 999908244.3276532158747516400843707 lastprime: 505999999919
506000000000 507000000000 37104007 Prod: 1.0000732583970261165040124 Sumlog: 999982300.7823083562843461858055981 lastprime: 506999999983
507000000000 508000000000 37099325 Prod: 1.0000731048247941746837104 Sumlog: 999929285.8834242079041124568364596 lastprime: 507999999961
508000000000 509000000000 37103000 Prod: 1.0000729682730640501204971 Sumlog: 1000101379.0202521553115833821213161 lastprime: 508999999999
509000000000 510000000000 37099760 Prod: 1.0000728186912237941500438 Sumlog: 1000086934.0140721581194257895129878 lastprime: 509999999981
510000000000 511000000000 37087914 Prod: 1.0000726528373403115202696 Sumlog: 999840326.6067659860336565683073143 lastprime: 510999999997
511000000000 512000000000 37093254 Prod: 1.0000725212408180747602177 Sumlog: 1000056871.9090311838547047405967311 lastprime: 511999999997
512000000000 513000000000 37085735 Prod: 1.0000723650533942745513492 Sumlog: 999926590.7757767162901578991573674 lastprime: 512999999957
513000000000 514000000000 37092466 Prod: 1.0000722372283403968145138 Sumlog: 1000180382.7999832241761635775218288 lastprime: 513999999983
514000000000 515000000000 37080572 Prod: 1.0000720737030242520435606 Sumlog: 999931807.1212499016546140527076022 lastprime: 514999999961
515000000000 516000000000 37079762 Prod: 1.0000719323190814938072446 Sumlog: 999981960.8948970180309347058651723 lastprime: 515999999923
516000000000 517000000000 37079799 Prod: 1.0000717931108139408058850 Sumlog: 1000054821.9725486392811431686521429 lastprime: 516999999949
517000000000 518000000000 37080011 Prod: 1.0000716547863385307695594 Sumlog: 1000132260.4252213955590318028600371 lastprime: 517999999999
518000000000 519000000000 37070403 Prod: 1.0000714980476541444695199 Sumlog: 999944678.2583514772277620560914383 lastprime: 518999999929
519000000000 520000000000 37067787 Prod: 1.0000713553836513898424348 Sumlog: 999945532.4538447062783797503769768 lastprime: 519999999997
520000000000 521000000000 37066859 Prod: 1.0000712165030836545701219 Sumlog: 999991782.3696564888946960645303795 lastprime: 520999999979
521000000000 522000000000 37062642 Prod: 1.0000710718474425149992139 Sumlog: 999949154.9993942624605137711830369 lastprime: 521999999999
522000000000 523000000000 37058118 Prod: 1.0000709271718668845148078 Sumlog: 999898084.4541141876690662814544970 lastprime: 522999999989
523000000000 524000000000 37060405 Prod: 1.0000707960453610214243406 Sumlog: 1000030655.4386573722456158579118636 lastprime: 523999999979
524000000000 525000000000 37056007 Prod: 1.0000706526785234143277933 Sumlog: 999982697.2929503401790724523823716 lastprime: 524999999983
525000000000 526000000000 37055834 Prod: 1.0000705178900043462917982 Sumlog: 1000048614.4904114302142439150427286 lastprime: 525999999997
526000000000 527000000000 37052839 Prod: 1.0000703782649818814432697 Sumlog: 1000038226.2324315122578489470703546 lastprime: 526999999993
527000000000 528000000000 37054078 Prod: 1.0000702471863158121847747 Sumlog: 1000141979.9328575881761669566448929 lastprime: 527999999983
528000000000 529000000000 37046165 Prod: 1.0000700992863558405195065 Sumlog: 999998561.9845301744391943592558074 lastprime: 528999999947
529000000000 530000000000 37044355 Prod: 1.0000699634775873320282795 Sumlog: 1000019730.1091049435412402943796427 lastprime: 529999999967
530000000000 531000000000 37041502 Prod: 1.0000698262073519125963894 Sumlog: 1000012605.1723377350401661508029786 lastprime: 530999999953
531000000000 532000000000 37037538 Prod: 1.0000696873785925166912861 Sumlog: 999975333.8349309923297471989555057 lastprime: 531999999991
532000000000 533000000000 37038798 Prod: 1.0000695588653871822766422 Sumlog: 1000078977.9043674016691270411577869 lastprime: 532999999981
533000000000 534000000000 37034266 Prod: 1.0000694199889884419759599 Sumlog: 1000026089.6964972712641487818229337 lastprime: 533999999999
534000000000 535000000000 37032293 Prod: 1.0000692864136702971706936 Sumlog: 1000042162.6610434054385082641547239 lastprime: 534999999991
535000000000 536000000000 37027400 Prod: 1.0000691478756148133477742 Sumlog: 999979244.2386463502877034513092116 lastprime: 535999999979
536000000000 537000000000 37027268 Prod: 1.0000690187470320084234399 Sumlog: 1000044755.3221068341633372399243584 lastprime: 536999999941
537000000000 538000000000 37025960 Prod: 1.0000688879029724888091674 Sumlog: 1000078377.5383203761620985682555565 lastprime: 537999999989
538000000000 539000000000 37020611 Prod: 1.0000687500424497148810560 Sumlog: 1000002709.8025255608372773767710537 lastprime: 538999999999
539000000000 540000000000 37013553 Prod: 1.0000686095097999444274726 Sumlog: 999880735.9922023095001131305131253 lastprime: 539999999999
540000000000 541000000000 37013940 Prod: 1.0000684832877590038204167 Sumlog: 999959732.8895032007902518019248660 lastprime: 540999999997
541000000000 542000000000 37012459 Prod: 1.0000683540793252530948831 Sumlog: 999988137.0816154932535287246626706 lastprime: 541999999999
542000000000 543000000000 37008995 Prod: 1.0000682216963675583006837 Sumlog: 999962827.4704184373962052454466883 lastprime: 542999999921
543000000000 544000000000 37008031 Prod: 1.0000680943868780776174433 Sumlog: 1000004940.0916781527792726589307107 lastprime: 543999999973
544000000000 545000000000 37007295 Prod: 1.0000679679764237644516839 Sumlog: 1000053078.2748254465217349593757919 lastprime: 544999999987
545000000000 546000000000 37002761 Prod: 1.0000678350641541490233316 Sumlog: 999998449.4135908351144514767644195 lastprime: 545999999971
546000000000 547000000000 37000612 Prod: 1.0000677070035247471909460 Sumlog: 1000008138.0728762424133989436699424 lastprime: 546999999983
547000000000 548000000000 36997561 Prod: 1.0000675777567596935650216 Sumlog: 999993318.6347800349406523226348582 lastprime: 547999999979
548000000000 549000000000 36993722 Prod: 1.0000674475425644798017989 Sumlog: 999957065.7133389199905500457383488 lastprime: 548999999987
549000000000 550000000000 36989162 Prod: 1.0000673165027621447746018 Sumlog: 999901178.6197565002831461289371769 lastprime: 549999999959
550000000000 551000000000 36989676 Prod: 1.0000671951560480316431519 Sumlog: 999982323.8026112083218763215797416 lastprime: 550999999969
551000000000 552000000000 36990964 Prod: 1.0000670756413939643801642 Sumlog: 1000084280.9589530889131968925068894 lastprime: 551999999933
552000000000 553000000000 36984390 Prod: 1.0000669423307159705970793 Sumlog: 999973549.4297419214818373045082461 lastprime: 552999999989
553000000000 554000000000 36982445 Prod: 1.0000668178710629027115315 Sumlog: 999987835.8176986766880697052073022 lastprime: 553999999999
554000000000 555000000000 36980791 Prod: 1.0000666943807257044991883 Sumlog: 1000009865.9509629023206972146212508 lastprime: 554999999987
555000000000 556000000000 36976198 Prod: 1.0000665660458215970687837 Sumlog: 999952289.0221039503665682087201756 lastprime: 555999999959
556000000000 557000000000 36977934 Prod: 1.0000664495503157570790749 Sumlog: 1000065740.5865631063456931580963931 lastprime: 556999999981
557000000000 558000000000 36973411 Prod: 1.0000663222395810533532417 Sumlog: 1000009796.5877557636955761947303702 lastprime: 557999999933
558000000000 559000000000 36972119 Prod: 1.0000662011705800514938025 Sumlog: 1000041111.0083184775428401768393502 lastprime: 558999999973
559000000000 560000000000 36968028 Prod: 1.0000660755359398946307202 Sumlog: 999996585.8921401540985200642937517 lastprime: 559999999997
560000000000 561000000000 36968970 Prod: 1.0000659593170975566621331 Sumlog: 1000088088.3105849058403297217856800 lastprime: 560999999993
561000000000 562000000000 36963085 Prod: 1.0000658313611611307438729 Sumlog: 999994774.9644519474719819920092040 lastprime: 561999999991
562000000000 563000000000 36959934 Prod: 1.0000657087304163726282558 Sumlog: 999975288.2664027631939123943306450 lastprime: 562999999999
563000000000 564000000000 36956463 Prod: 1.0000655859517074577298182 Sumlog: 999947023.7998164356956009597536989 lastprime: 563999999989
564000000000 565000000000 36958515 Prod: 1.0000654734027088169666611 Sumlog: 1000068072.8802412627171345950503995 lastprime: 564999999997
565000000000 566000000000 36952013 Prod: 1.0000653461170987913643952 Sumlog: 999957537.7574768718546775243406895 lastprime: 565999999979
566000000000 567000000000 36949073 Prod: 1.0000652255776701215444049 Sumlog: 999943256.6819497266540627726314903 lastprime: 566999999981
567000000000 568000000000 36948689 Prod: 1.0000651099599770863340724 Sumlog: 999998031.1399938872933694879205694 lastprime: 567999999911
568000000000 569000000000 36945451 Prod: 1.0000649897273012410272234 Sumlog: 999975443.0652517957561211068603274 lastprime: 568999999991
569000000000 570000000000 36942556 Prod: 1.0000648705275864988605687 Sumlog: 999962008.8420388096822628607506015 lastprime: 569999999999
570000000000 571000000000 36943463 Prod: 1.0000647584022161175439247 Sumlog: 1000051374.5876651490258611269860857 lastprime: 570999999917
571000000000 572000000000 36936053 Prod: 1.0000646321220272324032098 Sumlog: 999915472.2869282629230972470595447 lastprime: 571999999981
572000000000 573000000000 36935138 Prod: 1.0000645176205587946914026 Sumlog: 999955276.5792319956323980365811195 lastprime: 572999999993
573000000000 574000000000 36936518 Prod: 1.0000644075280072854429494 Sumlog: 1000057097.8096725030033732456716666 lastprime: 573999999971
574000000000 575000000000 36937126 Prod: 1.0000642964755726628382300 Sumlog: 1000137907.8834430542873315804914232 lastprime: 574999999961
575000000000 576000000000 36926603 Prod: 1.0000641664585064259181727 Sumlog: 999917201.8603478391190638050419683 lastprime: 575999999989
576000000000 577000000000 36924439 Prod: 1.0000640513968718221889027 Sumlog: 999922709.2833225116030265526734901 lastprime: 576999999977
577000000000 578000000000 36929678 Prod: 1.0000639495573041009457494 Sumlog: 1000128583.8175495046916390234395901 lastprime: 577999999999
578000000000 579000000000 36925748 Prod: 1.0000638322136910919141041 Sumlog: 1000086038.4650624185721753895509470 lastprime: 578999999947
579000000000 580000000000 36912943 Prod: 1.0000636999625301381057866 Sumlog: 999802984.0374385922633312887719553 lastprime: 579999999977
580000000000 581000000000 36921667 Prod: 1.0000636052540829009903892 Sumlog: 1000102936.2102068520070944711359906 lastprime: 580999999981
581000000000 582000000000 36918041 Prod: 1.0000634896347853369022862 Sumlog: 1000068259.5406003078196789257157392 lastprime: 581999999983
582000000000 583000000000 36916091 Prod: 1.0000633772888341202147614 Sumlog: 1000078865.6867946871259150502530841 lastprime: 582999999991
583000000000 584000000000 36910072 Prod: 1.0000632583523842993948335 Sumlog: 999979118.7251730044996264894391963 lastprime: 583999999931
584000000000 585000000000 36902062 Prod: 1.0000631364120427879633998 Sumlog: 999825301.0547692421922629758203253 lastprime: 584999999999
585000000000 586000000000 36898136 Prod: 1.0000630218772262345407234 Sumlog: 999781999.1446023723869585997331291 lastprime: 585999999973
586000000000 587000000000 36904457 Prod: 1.0000629252002191905457719 Sumlog: 1000016246.7594337174646897056374678 lastprime: 586999999997
587000000000 588000000000 36898482 Prod: 1.0000628079127456871582222 Sumlog: 999917202.8268611770655622065238597 lastprime: 587999999971
588000000000 589000000000 36903866 Prod: 1.0000627103349070721316760 Sumlog: 1000125865.2992293012575845106131779 lastprime: 588999999997
589000000000 590000000000 36895684 Prod: 1.0000625900752679244819547 Sumlog: 999966765.6786118731698788287354964 lastprime: 589999999969
590000000000 591000000000 36894788 Prod: 1.0000624825563151968389186 Sumlog: 1000005017.1963572700466743536523849 lastprime: 590999999987
591000000000 592000000000 36896333 Prod: 1.0000623795306204249012347 Sumlog: 1000109323.8735595325080296970556461 lastprime: 591999999979
592000000000 593000000000 36886838 Prod: 1.0000622582181957516060070 Sumlog: 999914262.4863087762591465943835507 lastprime: 592999999993
593000000000 594000000000 36889046 Prod: 1.0000621570337787984410714 Sumlog: 1000036324.5369830806855228219686214 lastprime: 593999999963
594000000000 595000000000 36879794 Prod: 1.0000620369160555905163554 Sumlog: 999847594.9096665782529848508559076 lastprime: 594999999977
595000000000 596000000000 36884746 Prod: 1.0000619410509171613323171 Sumlog: 1000043840.8453244676379216318285746 lastprime: 595999999997
596000000000 597000000000 36884901 Prod: 1.0000618374688440870675719 Sumlog: 1000109929.4763228978334107483244604 lastprime: 596999999957
597000000000 598000000000 36874992 Prod: 1.0000617173906713628871422 Sumlog: 999903018.3050107448700068916473034 lastprime: 597999999997
598000000000 599000000000 36881715 Prod: 1.0000616254957743563884887 Sumlog: 1000146997.6353549737250251548289476 lastprime: 598999999799
599000000000 600000000000 36872662 Prod: 1.0000615075938259679295026 Sumlog: 999963059.4669134616737109050474385 lastprime: 599999999993
600000000000 601000000000 36875046 Prod: 1.0000614091356466904813368 Sumlog: 1000089169.2368045137443694692933625 lastprime: 600999999989
601000000000 602000000000 36868569 Prod: 1.0000612962734856271222510 Sumlog: 999974849.8816801180254008960146318 lastprime: 601999999919
602000000000 603000000000 36866002 Prod: 1.0000611902698561695428591 Sumlog: 999966467.0171502801356011789543411 lastprime: 602999999999
603000000000 604000000000 36864569 Prod: 1.0000610865029011070784287 Sumlog: 999988731.2225004345994593127028835 lastprime: 603999999973
604000000000 605000000000 36862514 Prod: 1.0000609820442559892239079 Sumlog: 999994019.6789199797081379562736047 lastprime: 604999999999
605000000000 606000000000 36862252 Prod: 1.0000608808973020209133364 Sumlog: 1000047840.1366946613379552094285350 lastprime: 605999999981
606000000000 607000000000 36857663 Prod: 1.0000607729455955658031258 Sumlog: 999984165.5938849077608642909895266 lastprime: 606999999971
607000000000 608000000000 36852176 Prod: 1.0000606638750817114655014 Sumlog: 999896008.1605944342152862957452836 lastprime: 607999999993
608000000000 609000000000 36851424 Prod: 1.0000605629387210813639785 Sumlog: 999936217.3444750403530772665485389 lastprime: 608999999873
609000000000 610000000000 36850934 Prod: 1.0000604627680084616717836 Sumlog: 999983431.3698808775141327814943469 lastprime: 609999999913
610000000000 611000000000 36849778 Prod: 1.0000603618299962108470924 Sumlog: 1000012473.7304324281917126519627039 lastprime: 610999999999
611000000000 612000000000 36847351 Prod: 1.0000602591506182601677633 Sumlog: 1000006915.1844722623642964959430373 lastprime: 611999999959
612000000000 613000000000 36844162 Prod: 1.0000601555565685298270103 Sumlog: 999980572.4166849609228801626714061 lastprime: 612999999991
613000000000 614000000000 36840536 Prod: 1.0000600515893403542345416 Sumlog: 999942258.8892455126148338054768105 lastprime: 613999999967
614000000000 615000000000 36842314 Prod: 1.0000599567566880662162063 Sumlog: 1000050521.3093578279878282833212203 lastprime: 614999999941
615000000000 616000000000 36835937 Prod: 1.0000598489846863839533295 Sumlog: 999937317.1105501273239132926138740 lastprime: 615999999973
616000000000 617000000000 36838500 Prod: 1.0000597560571689449997120 Sumlog: 1000066696.4966966734618005889359791 lastprime: 616999999969
617000000000 618000000000 36834056 Prod: 1.0000596520868452520090113 Sumlog: 1000005751.9894016114033344947551328 lastprime: 617999999993
618000000000 619000000000 36830164 Prod: 1.0000595493448015605343445 Sumlog: 999959683.8892201867433298906485128 lastprime: 618999999997
619000000000 620000000000 36829331 Prod: 1.0000594518755465957081873 Sumlog: 999996563.6207945752417032810393238 lastprime: 619999999973
620000000000 621000000000 36830301 Prod: 1.0000593576178136593524638 Sumlog: 1000082308.2863675954179442616387578 lastprime: 620999999989
621000000000 622000000000 36823255 Prod: 1.0000592507706739333049348 Sumlog: 999950279.0809839009120916064993136 lastprime: 621999999977
622000000000 623000000000 36819442 Prod: 1.0000591494590849349201410 Sumlog: 999905931.4938009615079558499079225 lastprime: 622999999981
623000000000 624000000000 36821632 Prod: 1.0000590581000676392324834 Sumlog: 1000024510.3587492808451187658482126 lastprime: 623999999999
624000000000 625000000000 36820274 Prod: 1.0000589613531370078727999 Sumlog: 1000046636.3461990131832910423289530 lastprime: 624999999991
625000000000 626000000000 36814994 Prod: 1.0000588586505407342377430 Sumlog: 999962131.4639142891294210032713778 lastprime: 625999999981
626000000000 627000000000 36814142 Prod: 1.0000587633347304449528107 Sumlog: 999997801.0546047124220459972150198 lastprime: 626999999993
627000000000 628000000000 36811652 Prod: 1.0000586657201731300138761 Sumlog: 999988872.8509462190764091162847355 lastprime: 627999999943
628000000000 629000000000 36808979 Prod: 1.0000585681217625585647578 Sumlog: 999974873.8104332692653794698918175 lastprime: 628999999973
629000000000 630000000000 36811775 Prod: 1.0000584795198051792156517 Sumlog: 1000109357.1755132901897867821673809 lastprime: 629999999977
630000000000 631000000000 36801430 Prod: 1.0000583703586328705943564 Sumlog: 999886716.4877917745237880521470339 lastprime: 630999999991
631000000000 632000000000 36808328 Prod: 1.0000582888458105619242722 Sumlog: 1000132468.6386788743550543605302024 lastprime: 631999999927
632000000000 633000000000 36803573 Prod: 1.0000581891723739609771809 Sumlog: 1000061499.9352033959529401909082748 lastprime: 632999999969
633000000000 634000000000 36799681 Prod: 1.0000580911736097514421776 Sumlog: 1000013877.3145847738915183936912182 lastprime: 633999999961
634000000000 635000000000 36793993 Prod: 1.0000579906491794605037359 Sumlog: 999917344.8627707095178071310970954 lastprime: 634999999999
635000000000 636000000000 36796286 Prod: 1.0000579030052063736914345 Sumlog: 1000037605.1245199661889000838725726 lastprime: 635999999959
636000000000 637000000000 36790335 Prod: 1.0000578026762554565283229 Sumlog: 999933720.5549251473456646045164681 lastprime: 636999999997
637000000000 638000000000 36790391 Prod: 1.0000577120940812968100221 Sumlog: 999992996.1041964497890760027867975 lastprime: 637999999979
638000000000 639000000000 36784263 Prod: 1.0000576121037738800535070 Sumlog: 999884089.3239363890862668831561775 lastprime: 638999999971
639000000000 640000000000 36786962 Prod: 1.0000575262385821796363781 Sumlog: 1000015020.3532952354562283775750402 lastprime: 639999999979
640000000000 641000000000 36787834 Prod: 1.0000574377808695477318486 Sumlog: 1000096207.0751896029649005749874809 lastprime: 640999999987
641000000000 642000000000 36784339 Prod: 1.0000573427909297669033634 Sumlog: 1000058580.9825789167442319865618952 lastprime: 641999999941
642000000000 643000000000 36779702 Prod: 1.0000572463250756818512977 Sumlog: 999989801.3840599429383744505472153 lastprime: 642999999979
643000000000 644000000000 36780960 Prod: 1.0000571593170276976806013 Sumlog: 1000081206.5885022402986404697318326 lastprime: 643999999987
644000000000 645000000000 36775306 Prod: 1.0000570618505434026519082 Sumlog: 999984579.6566855017269454372462075 lastprime: 644999999977
645000000000 646000000000 36773058 Prod: 1.0000569699634330400247242 Sumlog: 999980466.6420142123474272803799280 lastprime: 645999999977
646000000000 647000000000 36772659 Prod: 1.0000568812222010831016270 Sumlog: 1000026540.7400284369909120422025282 lastprime: 646999999991
647000000000 648000000000 36767187 Prod: 1.0000567849244752685395605 Sumlog: 999934555.3917552606145123879374922 lastprime: 647999999971
648000000000 649000000000 36765191 Prod: 1.0000566942786602439782104 Sumlog: 999937008.9775307493229536603737919 lastprime: 648999999961
649000000000 650000000000 36764412 Prod: 1.0000566057908138090220519 Sumlog: 999972467.5045256010662495633747863 lastprime: 649999999993
650000000000 651000000000 36766448 Prod: 1.0000565218949328060276042 Sumlog: 1000084412.3845282619878486691285725 lastprime: 650999999989
651000000000 652000000000 36759082 Prod: 1.0000564238351982469984630 Sumlog: 999940511.3404386552767767766723400 lastprime: 651999999997
652000000000 653000000000 36763686 Prod: 1.0000563444145127938349640 Sumlog: 1000122138.7036780571816305403694180 lastprime: 652999999963
653000000000 654000000000 36758876 Prod: 1.0000562508284328021347711 Sumlog: 1000047581.6326758939242927400532915 lastprime: 653999999963
654000000000 655000000000 36753889 Prod: 1.0000561572595215787077162 Sumlog: 999968107.0344173502486834220946939 lastprime: 654999999961
655000000000 656000000000 36750150 Prod: 1.0000560658842176978257080 Sumlog: 999922485.1144926114571157335547973 lastprime: 655999999957
656000000000 657000000000 36749749 Prod: 1.0000559798662591347069973 Sumlog: 999967597.7127285181440144670795239 lastprime: 656999999989
657000000000 658000000000 36744906 Prod: 1.0000558873650466213531891 Sumlog: 999891741.9349202123636300518273402 lastprime: 657999999977
658000000000 659000000000 36746488 Prod: 1.0000558048921204408329015 Sumlog: 999990638.1741496575086915395912571 lastprime: 658999999997
659000000000 660000000000 36743875 Prod: 1.0000557163098710254160328 Sumlog: 999975287.4217909453969294525487361 lastprime: 659999999963
660000000000 661000000000 36744051 Prod: 1.0000556322189863685458484 Sumlog: 1000035750.2006354027681367185523030 lastprime: 660999999973
661000000000 662000000000 36742456 Prod: 1.0000555457006639708139105 Sumlog: 1000047929.4450945732498929369179950 lastprime: 661999999993
662000000000 663000000000 36741208 Prod: 1.0000554599738312505720112 Sumlog: 1000069460.6919104197243509943062948 lastprime: 662999999969
663000000000 664000000000 36734801 Prod: 1.0000553667274295436577318 Sumlog: 999950473.7862032369477713532596177 lastprime: 663999999977
664000000000 665000000000 36736725 Prod: 1.0000552863008018114342110 Sumlog: 1000058172.3312143977208283057895878 lastprime: 664999999967
665000000000 666000000000 36731330 Prod: 1.0000551951183571199970348 Sumlog: 999966541.8935612139006994874286957 lastprime: 665999999921
666000000000 667000000000 36731336 Prod: 1.0000551123101476652361119 Sumlog: 1000021858.4250934035547452814589972 lastprime: 666999999997
667000000000 668000000000 36728559 Prod: 1.0000550255826306544829092 Sumlog: 1000001318.6939656630729152859882666 lastprime: 667999999987
668000000000 669000000000 36724225 Prod: 1.0000549367852249213639375 Sumlog: 999938293.8382463633045395450807005 lastprime: 668999999989
669000000000 670000000000 36725153 Prod: 1.0000548561123324780731614 Sumlog: 1000018457.5578323723204503287540196 lastprime: 669999999953
670000000000 671000000000 36720165 Prod: 1.0000547668568489634091971 Sumlog: 999937441.4607568635255753023874137 lastprime: 670999999979
671000000000 672000000000 36721853 Prod: 1.0000546878121408211492900 Sumlog: 1000038133.1906192465735675119079619 lastprime: 671999999911
672000000000 673000000000 36716745 Prod: 1.0000545988921921733400400 Sumlog: 999953667.2455659684696194202454967 lastprime: 672999999953
673000000000 674000000000 36720723 Prod: 1.0000545237274335938641030 Sumlog: 1000116569.2031105741771368652142190 lastprime: 673999999999
674000000000 675000000000 36715812 Prod: 1.0000544356110540295751762 Sumlog: 1000037286.9331225164435286431295496 lastprime: 674999999987
675000000000 676000000000 36710370 Prod: 1.0000543469677515750313371 Sumlog: 999943446.7843101643082629524638748 lastprime: 675999999937
676000000000 677000000000 36711984 Prod: 1.0000542690109222177016646 Sumlog: 1000041721.1854546676249318387956528 lastprime: 676999999999
677000000000 678000000000 36715264 Prod: 1.0000541937490680450728346 Sumlog: 1000185300.9340858047558875819171320 lastprime: 677999999921
678000000000 679000000000 36706425 Prod: 1.0000541008443249927697222 Sumlog: 999998652.2090920904730923755956834 lastprime: 678999999949
679000000000 680000000000 36699957 Prod: 1.0000540117066915316546786 Sumlog: 999876491.8895548981092449972767722 lastprime: 679999999997
680000000000 681000000000 36700493 Prod: 1.0000539331225919270657742 Sumlog: 999945065.6667310881424038188654949 lastprime: 680999999969
681000000000 682000000000 36698664 Prod: 1.0000538512976351978852689 Sumlog: 999949121.9703432175013565494119854 lastprime: 681999999983
682000000000 683000000000 36697163 Prod: 1.0000537701936552079410708 Sumlog: 999962031.1764577772340138657419925 lastprime: 682999999951
683000000000 684000000000 36697307 Prod: 1.0000536917334164059349287 Sumlog: 1000019684.5659788791617089665356068 lastprime: 683999999987
684000000000 685000000000 36690237 Prod: 1.0000536029600689226509166 Sumlog: 999880666.0856923747222212624035819 lastprime: 684999999941
685000000000 686000000000 36691734 Prod: 1.0000535269453502679667844 Sumlog: 999975027.6115233278777167570290314 lastprime: 685999999961
686000000000 687000000000 36690611 Prod: 1.0000534473393124034055428 Sumlog: 999997904.9920277639684016759083746 lastprime: 686999999957
687000000000 688000000000 36686336 Prod: 1.0000533633770882710988406 Sumlog: 999934791.2295517147014266783249188 lastprime: 687999999931
688000000000 689000000000 36687384 Prod: 1.0000532873916359661601430 Sumlog: 1000016679.7876720683428155015262041 lastprime: 688999999939
689000000000 690000000000 36687936 Prod: 1.0000532109017015528622984 Sumlog: 1000084977.2056995543743507808552804 lastprime: 689999999993
690000000000 691000000000 36686573 Prod: 1.0000531318661715020099640 Sumlog: 1000100990.4638400102748642679937378 lastprime: 690999999953
691000000000 692000000000 36687234 Prod: 1.0000530559802120383067473 Sumlog: 1000172105.6326573211366866487642451 lastprime: 691999999991
692000000000 693000000000 36674873 Prod: 1.0000529615171836601686658 Sumlog: 999888113.4338178272823545868719364 lastprime: 692999999999
693000000000 694000000000 36677887 Prod: 1.0000528894925108352264617 Sumlog: 1000023212.4427791448865774773845965 lastprime: 693999999961
694000000000 695000000000 36672101 Prod: 1.0000528050041649736917735 Sumlog: 999918298.6586166335578598667716284 lastprime: 694999999999
695000000000 696000000000 36673834 Prod: 1.0000527315708670168214368 Sumlog: 1000018319.0913800116068168360923880 lastprime: 695999999957
696000000000 697000000000 36669669 Prod: 1.0000526498765807859037743 Sumlog: 999957436.4983787632141273909850251 lastprime: 696999999991
697000000000 698000000000 36668296 Prod: 1.0000525724237148307331719 Sumlog: 999972603.4902619161589464581171198 lastprime: 697999999999
698000000000 699000000000 36665545 Prod: 1.0000524932208127363751514 Sumlog: 999950109.3191999944753678151125123 lastprime: 698999999983
699000000000 700000000000 36666742 Prod: 1.0000524198866004140262337 Sumlog: 1000035209.8892333003088290103527076 lastprime: 699999999989
700000000000 701000000000 36665452 Prod: 1.0000523432064415619147795 Sumlog: 1000052409.2462712559182363751026376 lastprime: 700999999991
701000000000 702000000000 36664075 Prod: 1.0000522666282256866388281 Sumlog: 1000067151.9928020429801018545289984 lastprime: 701999999969
702000000000 703000000000 36660722 Prod: 1.0000521874539018871624004 Sumlog: 1000027915.9785036049436885701061841 lastprime: 702999999959
703000000000 704000000000 36658092 Prod: 1.0000521095258619290169934 Sumlog: 1000008323.7202929390292096855614938 lastprime: 703999999991
704000000000 705000000000 36656780 Prod: 1.0000520336987117593374950 Sumlog: 1000024599.8015731072072935482038164 lastprime: 704999999993
705000000000 706000000000 36653625 Prod: 1.0000519554680840959162701 Sumlog: 999990521.4724312973485871712988510 lastprime: 705999999989
706000000000 707000000000 36648848 Prod: 1.0000518751654729951095672 Sumlog: 999912104.8144772316625832080878385 lastprime: 706999999903
707000000000 708000000000 36646683 Prod: 1.0000517987829802629008228 Sumlog: 999904868.9003650143924754889652901 lastprime: 707999999983
708000000000 709000000000 36650803 Prod: 1.0000517314859684596614330 Sumlog: 1000069049.8090075376839697608203496 lastprime: 708999999997
709000000000 710000000000 36647555 Prod: 1.0000516539909107247767426 Sumlog: 1000032114.3597112801998189808027875 lastprime: 709999999999
710000000000 711000000000 36639313 Prod: 1.0000515696841221253603533 Sumlog: 999858814.9852249738122361131437661 lastprime: 710999999923
711000000000 712000000000 36636222 Prod: 1.0000514928615328057018070 Sumlog: 999825988.8000113395334621167372120 lastprime: 711999999941
712000000000 713000000000 36638824 Prod: 1.0000514242423984723320873 Sumlog: 999948457.1531296801058255201207698 lastprime: 712999999993
713000000000 714000000000 36640132 Prod: 1.0000513540009038637599971 Sumlog: 1000035543.6438656039222593566710336 lastprime: 713999999963
714000000000 715000000000 36634532 Prod: 1.0000512742873348178172864 Sumlog: 999934008.9416821077786777540695677 lastprime: 714999999971
715000000000 716000000000 36638660 Prod: 1.0000512083942556538913409 Sumlog: 1000097924.0694683860284304861092304 lastprime: 715999999943
716000000000 717000000000 36629323 Prod: 1.0000511238879278126060219 Sumlog: 999894218.8811472967310668966705808 lastprime: 716999999987
717000000000 718000000000 36634074 Prod: 1.0000510592537082551400082 Sumlog: 1000075004.6385791345111212990161240 lastprime: 717999999979
718000000000 719000000000 36627964 Prod: 1.0000509796866420549358148 Sumlog: 999959219.4593636067693016438496796 lastprime: 718999999979
719000000000 720000000000 36628284 Prod: 1.0000509092757755795523743 Sumlog: 1000018898.6189897840245615281893106 lastprime: 719999999993
720000000000 721000000000 36625921 Prod: 1.0000508353325198185966620 Sumlog: 1000005256.1729855767890556240579546 lastprime: 720999999977
721000000000 722000000000 36623404 Prod: 1.0000507613853505860970780 Sumlog: 999987328.4120068259921062938910565 lastprime: 721999999991
722000000000 723000000000 36628407 Prod: 1.0000506980487204591812175 Sumlog: 1000174666.4800734196622267266812785 lastprime: 722999999987
723000000000 724000000000 36616429 Prod: 1.0000506114193790931508207 Sumlog: 999898238.9314844466602269406157828 lastprime: 723999999991
724000000000 725000000000 36618817 Prod: 1.0000505448575707043899406 Sumlog: 1000014026.8518448432522487539335779 lastprime: 724999999949
725000000000 726000000000 36618497 Prod: 1.0000504747430583994462640 Sumlog: 1000055798.2539688464439799674325567 lastprime: 725999999987
726000000000 727000000000 36611610 Prod: 1.0000503957861044012051053 Sumlog: 999918141.4887435874047747827198278 lastprime: 726999999959
727000000000 728000000000 36617702 Prod: 1.0000503348844053780771655 Sumlog: 1000134892.6403992452425730834969105 lastprime: 727999999997
728000000000 729000000000 36609087 Prod: 1.0000502539643013635798644 Sumlog: 999949878.1001896593590763554756243 lastprime: 728999999989
729000000000 730000000000 36611999 Prod: 1.0000501890690020890488820 Sumlog: 1000079637.4696507717167722082346448 lastprime: 729999999947
730000000000 731000000000 36606324 Prod: 1.0000501125896863366375252 Sumlog: 999974769.4743103666775551784071743 lastprime: 730999999999
731000000000 732000000000 36604828 Prod: 1.0000500420400832184961706 Sumlog: 999983975.3700040347652452162183292 lastprime: 731999999977
732000000000 733000000000 36605095 Prod: 1.0000499740849548049913216 Sumlog: 1000041277.1879556575174874458032438 lastprime: 732999999997
733000000000 734000000000 36601088 Prod: 1.0000499004849363532223322 Sumlog: 999981743.3857609278212834156631713 lastprime: 733999999949
734000000000 735000000000 36598072 Prod: 1.0000498284412492303189344 Sumlog: 999949202.3109215323260334473128365 lastprime: 734999999977
735000000000 736000000000 36603549 Prod: 1.0000497681368332918591082 Sumlog: 1000148649.6385131264183365783481012 lastprime: 735999999997
736000000000 737000000000 36594965 Prod: 1.0000496889044820539606291 Sumlog: 999963824.2442846668931992985366874 lastprime: 736999999979
737000000000 738000000000 36595448 Prod: 1.0000496221822257492072434 Sumlog: 1000026677.4651517226268316013279391 lastprime: 737999999939
738000000000 739000000000 36591943 Prod: 1.0000495502460110832232276 Sumlog: 999980476.8583425415333607268345627 lastprime: 738999999989
739000000000 740000000000 36590324 Prod: 1.0000494810472434429522359 Sumlog: 999985748.2392843393134077692453653 lastprime: 739999999951
740000000000 741000000000 36587285 Prod: 1.0000494101209141235410627 Sumlog: 999952136.4819896026237816545392809 lastprime: 740999999959
741000000000 742000000000 36591153 Prod: 1.0000493487028006519888583 Sumlog: 1000107230.3660068137089691353482018 lastprime: 741999999989
742000000000 743000000000 36589926 Prod: 1.0000492805813611336533254 Sumlog: 1000123009.8322975309909184674457523 lastprime: 742999999961
743000000000 744000000000 36584682 Prod: 1.0000492072485793308246708 Sumlog: 1000028910.0785894538996786582038132 lastprime: 743999999987
744000000000 745000000000 36578677 Prod: 1.0000491330845645911921808 Sumlog: 999913931.8419962296430533653019539 lastprime: 744999999983
745000000000 746000000000 36585099 Prod: 1.0000490757895176644898144 Sumlog: 1000138592.4956632641933394031994575 lastprime: 745999999949
746000000000 747000000000 36577300 Prod: 1.0000489996013165833946361 Sumlog: 999974418.0798449383650967378640707 lastprime: 746999999971
747000000000 748000000000 36575851 Prod: 1.0000489321092384099424578 Sumlog: 999983768.4728073002939797201348108 lastprime: 747999999953
748000000000 749000000000 36578249 Prod: 1.0000488699380524635952270 Sumlog: 1000098231.1411896706301472950480760 lastprime: 748999999981
749000000000 750000000000 36572370 Prod: 1.0000487968896719123153907 Sumlog: 999986319.0280476509353273355331368 lastprime: 749999999989
750000000000 751000000000 36573612 Prod: 1.0000487335217806101862438 Sumlog: 1000069045.0272373878466057869544906 lastprime: 750999999961
751000000000 752000000000 36570460 Prod: 1.0000486644786895444500709 Sumlog: 1000031551.4290526169134360253418253 lastprime: 751999999967
752000000000 753000000000 36565469 Prod: 1.0000485931744476867978429 Sumlog: 999943694.6843114637335125208575890 lastprime: 752999999981
753000000000 754000000000 36564850 Prod: 1.0000485278581772547674090 Sumlog: 999975328.4209566183496516275490109 lastprime: 753999999997
754000000000 755000000000 36562891 Prod: 1.0000484609453138660956237 Sumlog: 999970243.2231352352712433604113172 lastprime: 754999999997
755000000000 756000000000 36561109 Prod: 1.0000483944410383937467722 Sumlog: 999969931.8188415887847073134144016 lastprime: 755999999999
756000000000 757000000000 36560462 Prod: 1.0000483296125921113082922 Sumlog: 1000000596.4280135877006785870580249 lastprime: 756999999961
757000000000 758000000000 36561128 Prod: 1.0000482666872355202147714 Sumlog: 1000067111.4452910280457355114814268 lastprime: 757999999969
758000000000 759000000000 36555016 Prod: 1.0000481949937214043354674 Sumlog: 999948153.1402921773225051782960947 lastprime: 758999999993
759000000000 760000000000 36554691 Prod: 1.0000481311058685545534424 Sumlog: 999987426.1956691474446192998773563 lastprime: 759999999959
760000000000 761000000000 36555015 Prod: 1.0000480682431678059638575 Sumlog: 1000044387.0568866443779172730196806 lastprime: 760999999993
761000000000 762000000000 36552031 Prod: 1.0000480012002339701427831 Sumlog: 1000010784.2784731938550720617761360 lastprime: 761999999977
762000000000 763000000000 36546164 Prod: 1.0000479305549769913394673 Sumlog: 999898229.8514516658501206966100822 lastprime: 762999999911
763000000000 764000000000 36550655 Prod: 1.0000478736543029750869039 Sumlog: 1000069010.0709161148849045271584341 lastprime: 763999999993
764000000000 765000000000 36546241 Prod: 1.0000478052565735565310001 Sumlog: 999996074.2753347394302831245235139 lastprime: 764999999989
765000000000 766000000000 36545753 Prod: 1.0000477421712595082045969 Sumlog: 1000030490.9943626006719701994196486 lastprime: 765999999991
766000000000 767000000000 36541860 Prod: 1.0000476748020075707727238 Sumlog: 999971670.5539942461324158176796120 lastprime: 766999999991
767000000000 768000000000 36546997 Prod: 1.0000476193749487454300780 Sumlog: 1000159895.9301244233644236136214261 lastprime: 767999999983
768000000000 769000000000 36538291 Prod: 1.0000475460802480315166116 Sumlog: 999969219.9695615639530885560601842 lastprime: 768999999979
769000000000 770000000000 36536025 Prod: 1.0000474813490361596610567 Sumlog: 999954713.1836038742708781569417561 lastprime: 769999999961
770000000000 771000000000 36536517 Prod: 1.0000474203620792736456801 Sumlog: 1000015628.7561015545815439036413389 lastprime: 770999999999
771000000000 772000000000 36538106 Prod: 1.0000473609546187526364529 Sumlog: 1000106511.1570420714002226736916771 lastprime: 771999999973
772000000000 773000000000 36531973 Prod: 1.0000472917045105475760695 Sumlog: 999985962.6711898040487625481546683 lastprime: 772999999997
773000000000 774000000000 36528697 Prod: 1.0000472263295846658433062 Sumlog: 999943543.3391623261901950053912767 lastprime: 773999999977
774000000000 775000000000 36530366 Prod: 1.0000471675034162892671875 Sumlog: 1000036430.2228809048482502835536451 lastprime: 774999999997
775000000000 776000000000 36524089 Prod: 1.0000470985853555021963900 Sumlog: 999911722.2155322754929427944331307 lastprime: 775999999987
776000000000 777000000000 36525461 Prod: 1.0000470396977209504594009 Sumlog: 999996350.6620740321586063714694617 lastprime: 776999999983
777000000000 778000000000 36524160 Prod: 1.0000469775203039671710872 Sumlog: 1000007739.5216389625289282684872138 lastprime: 777999999991
778000000000 779000000000 36525963 Prod: 1.0000469194937575986959244 Sumlog: 1000104051.1563918911932775440678610 lastprime: 778999999993
779000000000 780000000000 36519775 Prod: 1.0000468513607308826382944 Sumlog: 999981500.9262148639752822610016896 lastprime: 779999999917
780000000000 781000000000 36520909 Prod: 1.0000467927851977899258810 Sumlog: 1000059373.4997619240416044075359824 lastprime: 780999999977
781000000000 782000000000 36518392 Prod: 1.0000467296855766900071515 Sumlog: 1000037209.8463131508517881571552335 lastprime: 781999999877
782000000000 783000000000 36514193 Prod: 1.0000466645980036687556843 Sumlog: 999968916.8050577548096936801762983 lastprime: 782999999983
783000000000 784000000000 36507418 Prod: 1.0000465963924691918061731 Sumlog: 999830001.3726607164739444455212948 lastprime: 783999999989
784000000000 785000000000 36506931 Prod: 1.0000465363721075005866698 Sumlog: 999863230.3234269657903077412390711 lastprime: 784999999967
785000000000 786000000000 36506844 Prod: 1.0000464770181443208392707 Sumlog: 999907351.1539379726259135033511283 lastprime: 785999999999
786000000000 787000000000 36511647 Prod: 1.0000464240304383879969810 Sumlog: 1000085355.7716183430362091325061179 lastprime: 786999999943
787000000000 788000000000 36505142 Prod: 1.0000463568145378592370569 Sumlog: 999953565.5362993006603705635805104 lastprime: 787999999991
788000000000 789000000000 36504633 Prod: 1.0000462973806431302481779 Sumlog: 999985945.3339649597046841667825002 lastprime: 788999999989
789000000000 790000000000 36501278 Prod: 1.0000462344856915036538932 Sumlog: 999940305.1504767730124919135648888 lastprime: 789999999991
790000000000 791000000000 36501864 Prod: 1.0000461767376611373963235 Sumlog: 1000002563.6073361707486925206333753 lastprime: 790999999957
791000000000 792000000000 36501822 Prod: 1.0000461183441003225391670 Sumlog: 1000047558.1023346073544549277015315 lastprime: 791999999971
792000000000 793000000000 36499794 Prod: 1.0000460575919013915691811 Sumlog: 1000038080.8057050060884620157659926 lastprime: 792999999997
793000000000 794000000000 36500354 Prod: 1.0000460002512550797173614 Sumlog: 1000099453.3090914549796997780752537 lastprime: 793999999943
794000000000 795000000000 36492273 Prod: 1.0000459321791115267527820 Sumlog: 999923996.8563030602878315568142017 lastprime: 794999999953
795000000000 796000000000 36495523 Prod: 1.0000458785221147853057933 Sumlog: 1000058957.4135026695642999818349208 lastprime: 795999999967
796000000000 797000000000 36491355 Prod: 1.0000458156852468120837543 Sumlog: 999990590.1024004232169829380875177 lastprime: 796999999993
797000000000 798000000000 36489031 Prod: 1.0000457553254990168753136 Sumlog: 999972683.4187918478158809111376908 lastprime: 797999999959
798000000000 799000000000 36482860 Prod: 1.0000456902930789758215670 Sumlog: 999849287.3248390483953100982099141 lastprime: 798999999997
799000000000 800000000000 36489063 Prod: 1.0000456409013234685185115 Sumlog: 1000064955.8185017267209691333176526 lastprime: 799999999991
800000000000 801000000000 36489040 Prod: 1.0000455838566733760826808 Sumlog: 1000109936.0513498320755571821893848 lastprime: 800999999999
801000000000 802000000000 36480847 Prod: 1.0000455167582401070367110 Sumlog: 999930923.4466334107071683154185925 lastprime: 801999999967
802000000000 803000000000 36478483 Prod: 1.0000454570945742048789171 Sumlog: 999911609.3797062665810754244001968 lastprime: 802999999999
803000000000 804000000000 36477498 Prod: 1.0000453992915381894319380 Sumlog: 999930037.6383738797567760171759027 lastprime: 803999999993
804000000000 805000000000 36482390 Prod: 1.0000453489408348755492641 Sumlog: 1000109513.4802615543885917240427584 lastprime: 804999999997
805000000000 806000000000 36476566 Prod: 1.0000452854089294901566811 Sumlog: 999995170.5553004764677566717793191 lastprime: 805999999949
806000000000 807000000000 36478685 Prod: 1.0000452318873669592907105 Sumlog: 1000098519.0839458990178307013379705 lastprime: 806999999987
807000000000 808000000000 36473576 Prod: 1.0000451695408020688955803 Sumlog: 1000003650.1062104595082634190125759 lastprime: 807999999973
808000000000 809000000000 36468534 Prod: 1.0000451074343528663742548 Sumlog: 999910547.1397093980700205884069969 lastprime: 808999999961
809000000000 810000000000 36473496 Prod: 1.0000450578425510688443430 Sumlog: 1000091680.4761433541183338273591961 lastprime: 809999999959
810000000000 811000000000 36468988 Prod: 1.0000449966846399795926995 Sumlog: 1000013097.4160487372396421345926121 lastprime: 810999999991
811000000000 812000000000 36469068 Prod: 1.0000449413343843436642639 Sumlog: 1000060258.1544207832500900060836498 lastprime: 811999999999
812000000000 813000000000 36469768 Prod: 1.0000448868804071138836164 Sumlog: 1000124368.7121366565451403736566778 lastprime: 812999999951
813000000000 814000000000 36460163 Prod: 1.0000448198953670072931825 Sumlog: 999905812.5915516946728885766961820 lastprime: 813999999983
814000000000 815000000000 36460472 Prod: 1.0000447652484228409805220 Sumlog: 999959076.5828992215494528588586466 lastprime: 814999999981
815000000000 816000000000 36460305 Prod: 1.0000447101471052017086065 Sumlog: 999999234.9056673569501081455109795 lastprime: 815999999993
816000000000 817000000000 36459917 Prod: 1.0000446549144114827515469 Sumlog: 1000033272.8064260556965747107731240 lastprime: 816999999989
817000000000 818000000000 36459491 Prod: 1.0000445997653524123901352 Sumlog: 1000066216.8395936411589498725990316 lastprime: 817999999997
818000000000 819000000000 36457670 Prod: 1.0000445430520901222596919 Sumlog: 1000060834.9339889127014739521327320 lastprime: 818999999981
819000000000 820000000000 36451523 Prod: 1.0000444811949051614070301 Sumlog: 999936726.1802594733192534347109835 lastprime: 819999999997
820000000000 821000000000 36455344 Prod: 1.0000444316387374251160172 Sumlog: 1000086001.2599271631032897225715938 lastprime: 820999999969
821000000000 822000000000 36450901 Prod: 1.0000443721413642847291940 Sumlog: 1000008515.0865296989273215612163354 lastprime: 821999999987
822000000000 823000000000 36447805 Prod: 1.0000443144272531533823455 Sumlog: 999967919.1805514903042165959448574 lastprime: 822999999967
823000000000 824000000000 36444302 Prod: 1.0000442563588874549010714 Sumlog: 999916095.2218388018488820137084599 lastprime: 823999999993
824000000000 825000000000 36444827 Prod: 1.0000442033204164160338283 Sumlog: 999974726.6221657329584611914038073 lastprime: 824999999933
825000000000 826000000000 36445945 Prod: 1.0000441511238784925443814 Sumlog: 1000049581.2526873911493454596736241 lastprime: 825999999943
826000000000 827000000000 36444625 Prod: 1.0000440961063943124822064 Sumlog: 1000057483.0526165426125086760508314 lastprime: 826999999963
827000000000 828000000000 36438083 Prod: 1.0000440349121727676359860 Sumlog: 999922026.9377693990734183893363133 lastprime: 827999999993
828000000000 829000000000 36438847 Prod: 1.0000439826834979332192138 Sumlog: 999987000.2574174817441807187255662 lastprime: 828999999979
829000000000 830000000000 36435232 Prod: 1.0000439252984061577435666 Sumlog: 999931747.1840687925868403010653048 lastprime: 829999999973
830000000000 831000000000 36436210 Prod: 1.0000438735886732364392132 Sumlog: 1000002483.2657263669835892622186447 lastprime: 830999999989
831000000000 832000000000 36435941 Prod: 1.0000438204958371036086195 Sumlog: 1000038949.5107953299050553148438969 lastprime: 831999999967
832000000000 833000000000 36428692 Prod: 1.0000437591526875208903969 Sumlog: 999883771.7378605889280402175458376 lastprime: 832999999991
833000000000 834000000000 36430004 Prod: 1.0000437082245892417516826 Sumlog: 999963517.1361587513600463160370281 lastprime: 833999999999
834000000000 835000000000 36435137 Prod: 1.0000436619969864510993240 Sumlog: 1000148100.5320263291863329067642318 lastprime: 834999999991
835000000000 836000000000 36422344 Prod: 1.0000435944232510277784210 Sumlog: 999840552.3427806488620876100039517 lastprime: 835999999987
836000000000 837000000000 36429407 Prod: 1.0000435507528513919537569 Sumlog: 1000078014.9184015121459732929333911 lastprime: 836999999993
837000000000 838000000000 36425970 Prod: 1.0000434946466986083732091 Sumlog: 1000027180.4328776275110743985791239 lastprime: 837999999989
838000000000 839000000000 36424808 Prod: 1.0000434413879750348361980 Sumlog: 1000038745.4045089841744746410242642 lastprime: 838999999979
839000000000 840000000000 36417684 Prod: 1.0000433811535208373358221 Sumlog: 999886563.0802775186814567801299716 lastprime: 839999999977
840000000000 841000000000 36417712 Prod: 1.0000433295744071610066333 Sumlog: 999930684.4222051341661801122775300 lastprime: 840999999989
841000000000 842000000000 36422392 Prod: 1.0000432836402188865887232 Sumlog: 1000102496.1550399347706558955635723 lastprime: 841999999931
842000000000 843000000000 36418216 Prod: 1.0000432273092622884813812 Sumlog: 1000031079.7725655831475735040401009 lastprime: 842999999929
843000000000 844000000000 36416040 Prod: 1.0000431734804462514227424 Sumlog: 1000014526.0162192052155736011324861 lastprime: 843999999977
844000000000 845000000000 36413630 Prod: 1.0000431194995791250132077 Sumlog: 999991491.8643550405315223948190072 lastprime: 844999999997
845000000000 846000000000 36408074 Prod: 1.0000430619300720943331377 Sumlog: 999881997.7623809740014764416546295 lastprime: 845999999993
846000000000 847000000000 36412820 Prod: 1.0000430166654430788848444 Sumlog: 1000055379.0962503704653487058336375 lastprime: 846999999983
847000000000 848000000000 36411338 Prod: 1.0000429641584118607669441 Sumlog: 1000057665.5393042423944740625652334 lastprime: 847999999999
848000000000 849000000000 36402392 Prod: 1.0000429029780232617827560 Sumlog: 999854886.1131818418174342944046320 lastprime: 848999999951
849000000000 850000000000 36410448 Prod: 1.0000428619577006299370494 Sumlog: 1000119043.6262020334751741924960259 lastprime: 849999999977
850000000000 851000000000 36404981 Prod: 1.0000428051307494583117664 Sumlog: 1000011707.1435236563167677505263175 lastprime: 850999999991
851000000000 852000000000 36401961 Prod: 1.0000427513127962985643703 Sumlog: 999971525.8152002009297407756636518 lastprime: 851999999987
852000000000 853000000000 36402061 Prod: 1.0000427012796595450514921 Sumlog: 1000016999.2931113440073809985650951 lastprime: 852999999989
853000000000 854000000000 36395192 Prod: 1.0000426432033408487912272 Sumlog: 999870961.9151003240056138104286521 lastprime: 853999999933
854000000000 855000000000 36394366 Prod: 1.0000425923299478536483791 Sumlog: 999890887.0593629309315094944836624 lastprime: 854999999921
855000000000 856000000000 36397915 Prod: 1.0000425466904000300056297 Sumlog: 1000030962.7226696823390475916498608 lastprime: 855999999997
856000000000 857000000000 36396978 Prod: 1.0000424959189989679696181 Sumlog: 1000047739.5971914958468436753235689 lastprime: 856999999997
857000000000 858000000000 36390908 Prod: 1.0000424392838980263765820 Sumlog: 999923420.2044921587740256891986413 lastprime: 857999999981
858000000000 859000000000 36401512 Prod: 1.0000424022002868944029345 Sumlog: 1000257215.9076109764683769832948328 lastprime: 858999999997
859000000000 860000000000 36391134 Prod: 1.0000423407893106346871929 Sumlog: 1000014410.2563934192488237030007577 lastprime: 859999999987
860000000000 861000000000 36383821 Prod: 1.0000422830854928198229881 Sumlog: 999855757.7293531697568013994721462 lastprime: 860999999999
861000000000 862000000000 36387040 Prod: 1.0000422377402797974299661 Sumlog: 999986479.7876617527595943664933027 lastprime: 861999999953
862000000000 863000000000 36380204 Prod: 1.0000421808420555656908771 Sumlog: 999840817.4510814688219018242596600 lastprime: 862999999997
863000000000 864000000000 36385747 Prod: 1.0000421384108311808567686 Sumlog: 1000035319.0771361537119244928208879 lastprime: 863999999999
864000000000 865000000000 36387670 Prod: 1.0000420918899214205423254 Sumlog: 1000130287.7771941378858326624123608 lastprime: 864999999917
865000000000 866000000000 36384216 Prod: 1.0000420392681035877889035 Sumlog: 1000077413.0874339638105745407911712 lastprime: 865999999981
866000000000 867000000000 36373930 Prod: 1.0000419788791838774330357 Sumlog: 999836688.8395160726362031843365850 lastprime: 866999999951
867000000000 868000000000 36372787 Prod: 1.0000419291696227051680179 Sumlog: 999847223.0683914641302552816218244 lastprime: 867999999989
868000000000 869000000000 36381556 Prod: 1.0000418909877615556935461 Sumlog: 1000130187.5704315910791758068307844 lastprime: 868999999999
869000000000 870000000000 36378379 Prod: 1.0000418391530780453873019 Sumlog: 1000084715.3407872774722420422977429 lastprime: 869999999993
870000000000 871000000000 36371733 Prod: 1.0000417834540479167510377 Sumlog: 999943815.2204590216537468224978350 lastprime: 870999999973
871000000000 872000000000 36376618 Prod: 1.0000417411164369916336461 Sumlog: 1000119877.5760037413076034306726772 lastprime: 871999999963
872000000000 873000000000 36371395 Prod: 1.0000416872853700883578363 Sumlog: 1000017991.8378312663215242969683017 lastprime: 872999999959
873000000000 874000000000 36369529 Prod: 1.0000416374237577010549290 Sumlog: 1000008347.1481669167434933763743054 lastprime: 873999999919
874000000000 875000000000 36370871 Prod: 1.0000415913454965905082382 Sumlog: 1000086859.9511782080400269194335454 lastprime: 874999999921
875000000000 876000000000 36363150 Prod: 1.0000415350208830385230779 Sumlog: 999916112.8011776685469942975684147 lastprime: 875999999951
876000000000 877000000000 36362449 Prod: 1.0000414868290129186027160 Sumlog: 999938349.5671583619030900898350928 lastprime: 876999999973
877000000000 878000000000 36359882 Prod: 1.0000414366258541432006356 Sumlog: 999909216.9778857978109888406009460 lastprime: 877999999979
878000000000 879000000000 36364917 Prod: 1.0000413951887979229045754 Sumlog: 1000089099.2839379554400040807902225 lastprime: 878999999987
879000000000 880000000000 36361806 Prod: 1.0000413445846398126718045 Sumlog: 1000044908.6001868518914718693789950 lastprime: 879999999979
880000000000 881000000000 36357492 Prod: 1.0000412927271820516294976 Sumlog: 999967578.5068594808075886577485435 lastprime: 880999999967
881000000000 882000000000 36362285 Prod: 1.0000412513204324873229227 Sumlog: 1000140677.5536329806930323710951642 lastprime: 881999999957
882000000000 883000000000 36353914 Prod: 1.0000411950885876805761440 Sumlog: 999951652.7889398634410682875155312 lastprime: 882999999997
883000000000 884000000000 36349226 Prod: 1.0000411431565013244730570 Sumlog: 999863868.0159814704016976507592699 lastprime: 883999999963
884000000000 885000000000 36353278 Prod: 1.0000411012202102308528072 Sumlog: 1000016451.4490542352992012039883577 lastprime: 884999999977
885000000000 886000000000 36350105 Prod: 1.0000410512178862441681097 Sumlog: 999970243.0786074204591688203672750 lastprime: 885999999979
886000000000 887000000000 36345118 Prod: 1.0000409992872118371453589 Sumlog: 999874072.4658729250814359047139803 lastprime: 886999999997
887000000000 888000000000 36351630 Prod: 1.0000409604253282981503063 Sumlog: 1000094205.8812097249772397535922174 lastprime: 887999999947
888000000000 889000000000 36348719 Prod: 1.0000409110474235995197513 Sumlog: 1000055052.5253888030313409011566033 lastprime: 888999999991
889000000000 890000000000 36343330 Prod: 1.0000408589951401258695149 Sumlog: 999947666.5821971333688184548637556 lastprime: 889999999951
890000000000 891000000000 36345264 Prod: 1.0000408152810278565025186 Sumlog: 1000041717.5560533519749263142985048 lastprime: 890999999987
891000000000 892000000000 36340945 Prod: 1.0000407646535216149921327 Sumlog: 999963665.8866027333223458849507582 lastprime: 891999999971
892000000000 893000000000 36339860 Prod: 1.0000407177621987722954492 Sumlog: 999974550.5722608902507329517779705 lastprime: 892999999993
893000000000 894000000000 36339705 Prod: 1.0000406720185579827860562 Sumlog: 1000010977.6971812243515432853912324 lastprime: 893999999983
894000000000 895000000000 36333547 Prod: 1.0000406196620509275310126 Sumlog: 999882162.6665124978619248039314835 lastprime: 894999999997
895000000000 896000000000 36333247 Prod: 1.0000405739684056619808884 Sumlog: 999914500.7752982846065280620786893 lastprime: 895999999991
896000000000 897000000000 36334704 Prod: 1.0000405303344508923288441 Sumlog: 999995150.5934132202835147329101312 lastprime: 896999999999
897000000000 898000000000 36334363 Prod: 1.0000404847937811856991213 Sumlog: 1000026272.7903261556591975156294977 lastprime: 897999999983
898000000000 899000000000 36331440 Prod: 1.0000404364808329273091813 Sumlog: 999986282.0423008690236008089184220 lastprime: 898999999991
899000000000 900000000000 36329529 Prod: 1.0000403894022290782764016 Sumlog: 999974093.5666412520919621568597519 lastprime: 899999999981
900000000000 901000000000 36332208 Prod: 1.0000403475228195093834202 Sumlog: 1000088203.7419694153897498414430795 lastprime: 900999999973
901000000000 902000000000 36328465 Prod: 1.0000402986137163228683053 Sumlog: 1000025493.3457995803655553280927174 lastprime: 901999999963
902000000000 903000000000 36328064 Prod: 1.0000402535180807303055028 Sumlog: 1000054728.2741736288275764278386274 lastprime: 902999999999
903000000000 904000000000 36322218 Prod: 1.0000402024935843588022853 Sumlog: 999934021.0555919028666478808417995 lastprime: 903999999989
904000000000 905000000000 36319689 Prod: 1.0000401552489335324119012 Sumlog: 999904575.8756650984202197666874317 lastprime: 904999999999
905000000000 906000000000 36320649 Prod: 1.0000401119624979427956861 Sumlog: 999971138.4633960561373461352742233 lastprime: 905999999969
906000000000 907000000000 36323305 Prod: 1.0000400706403872853751386 Sumlog: 1000084356.5815027976074258242113722 lastprime: 906999999973
907000000000 908000000000 36318072 Prod: 1.0000400207183814884080682 Sumlog: 999980318.6851789730455451667547623 lastprime: 907999999981
908000000000 909000000000 36320978 Prod: 1.0000399798660834665597798 Sumlog: 1000100332.3592773143608857102975910 lastprime: 908999999983
909000000000 910000000000 36315166 Prod: 1.0000399295168279690779453 Sumlog: 999980249.0152760517903614817657400 lastprime: 909999999983
910000000000 911000000000 36313437 Prod: 1.0000398837599700180280315 Sumlog: 999972546.1059245691941929221958985 lastprime: 910999999997
911000000000 912000000000 36309586 Prod: 1.0000398357791008413628207 Sumlog: 999906355.8180524189294290851737886 lastprime: 911999999983
912000000000 913000000000 36310854 Prod: 1.0000397935122850723473220 Sumlog: 999981088.9365704584512012644773617 lastprime: 912999999991
913000000000 914000000000 36312433 Prod: 1.0000397516778466866934014 Sumlog: 1000064346.9073035913031399146429861 lastprime: 913999999999
914000000000 915000000000 36309693 Prod: 1.0000397052144871048703169 Sumlog: 1000028610.1100055014725338038139126 lastprime: 914999999989
915000000000 916000000000 36303650 Prod: 1.0000396552399023065691848 Sumlog: 999901854.5698546953499927325364404 lastprime: 915999999991
916000000000 917000000000 36306109 Prod: 1.0000396146540282636362896 Sumlog: 1000009217.6745446767462407360199163 lastprime: 916999999997
917000000000 918000000000 36306907 Prod: 1.0000395723460455266966621 Sumlog: 1000070790.9545397529577499140646119 lastprime: 917999999981
918000000000 919000000000 36308306 Prod: 1.0000395307850005140196946 Sumlog: 1000148877.5738879483254853883804148 lastprime: 918999999979
919000000000 920000000000 36302870 Prod: 1.0000394818822148235679617 Sumlog: 1000038638.3862243813473987651290099 lastprime: 919999999981
920000000000 921000000000 36298624 Prod: 1.0000394343759843917005882 Sumlog: 999961129.0994732607695730635571432 lastprime: 920999999977
921000000000 922000000000 36299967 Prod: 1.0000393930386432935036740 Sumlog: 1000037540.2139170118842447694743709 lastprime: 921999999997
922000000000 923000000000 36294341 Prod: 1.0000393442354577552924035 Sumlog: 999921913.7272433303311066882607881 lastprime: 922999999939
923000000000 924000000000 36295110 Prod: 1.0000393024663186717041438 Sumlog: 999982420.7496806699455130680760868 lastprime: 923999999987
924000000000 925000000000 36290418 Prod: 1.0000392548780772163754302 Sumlog: 999892424.6603982878615770443323520 lastprime: 924999999971
925000000000 926000000000 36295070 Prod: 1.0000392174871279114258788 Sumlog: 1000059838.7501244376195347733127783 lastprime: 925999999979
926000000000 927000000000 36293325 Prod: 1.0000391732768726029551272 Sumlog: 1000050948.8517238139562516410748235 lastprime: 926999999957
927000000000 928000000000 36288298 Prod: 1.0000391256184210257455183 Sumlog: 999951579.4019558199566214081263213 lastprime: 927999999967
928000000000 929000000000 36285338 Prod: 1.0000390802912782248386500 Sumlog: 999909114.6895518738955440929148234 lastprime: 928999999931
929000000000 930000000000 36287872 Prod: 1.0000390409716633175805711 Sumlog: 1000018005.5575802505016242414086041 lastprime: 929999999987
930000000000 931000000000 36289500 Prod: 1.0000390007655911415105611 Sumlog: 1000101888.8882388854257401347361455 lastprime: 930999999971
931000000000 932000000000 36280359 Prod: 1.0000389490807506536214308 Sumlog: 999888942.9630608559789075782144250 lastprime: 931999999991
932000000000 933000000000 36284979 Prod: 1.0000389122677865119798119 Sumlog: 1000055201.2610783743628729249509704 lastprime: 932999999969
933000000000 934000000000 36286136 Prod: 1.0000388718197938107008192 Sumlog: 1000125983.6093782341950517488048868 lastprime: 933999999997
934000000000 935000000000 36276746 Prod: 1.0000388201747128751817543 Sumlog: 999906014.0749166825311881290020158 lastprime: 934999999963
935000000000 936000000000 36278022 Prod: 1.0000387800401677681129788 Sumlog: 999979985.8301397055011263714141753 lastprime: 935999999983
936000000000 937000000000 36277713 Prod: 1.0000387383001021116316313 Sumlog: 1000010226.4551189272265870534266419 lastprime: 936999999997
937000000000 938000000000 36271263 Prod: 1.0000386901003156035490108 Sumlog: 999871137.5192397593084725610658247 lastprime: 937999999999
938000000000 939000000000 36273283 Prod: 1.0000386510256432864949540 Sumlog: 999965493.5015156605744551121231757 lastprime: 938999999999
939000000000 940000000000 36279213 Prod: 1.0000386161974471755028576 Sumlog: 1000167604.6226322093501236118780978 lastprime: 939999999973
940000000000 941000000000 36274956 Prod: 1.0000385706116562305216344 Sumlog: 1000088834.7424065858819303739726531 lastprime: 940999999997
941000000000 942000000000 36268067 Prod: 1.0000385223246022379413084 Sumlog: 999937450.9229793722007400549877514 lastprime: 941999999981
942000000000 943000000000 36267895 Prod: 1.0000384812686708004372492 Sumlog: 999971209.8489017032436594625690444 lastprime: 942999999979
943000000000 944000000000 36274496 Prod: 1.0000384474785082872668769 Sumlog: 1000191678.6986632468050550105088549 lastprime: 943999999967
944000000000 945000000000 36266448 Prod: 1.0000383982499695935050375 Sumlog: 1000008189.9793940353695436441751306 lastprime: 944999999969
945000000000 946000000000 36263878 Prod: 1.0000383549197664213974064 Sumlog: 999975699.0971994273494695211558523 lastprime: 945999999983
946000000000 947000000000 36265609 Prod: 1.0000383162250532201211837 Sumlog: 1000061767.0838642618801814888849333 lastprime: 946999999987
947000000000 948000000000 36262732 Prod: 1.0000382727499978161390765 Sumlog: 1000020721.5922017572025300852930952 lastprime: 947999999993
948000000000 949000000000 36263264 Prod: 1.0000382329564019595310121 Sumlog: 1000073647.7579138043016802520514987 lastprime: 948999999973
949000000000 950000000000 36256118 Prod: 1.0000381851640326507925335 Sumlog: 999914777.7599488408607509448581896 lastprime: 949999999961
950000000000 951000000000 36253357 Prod: 1.0000381420855284406012104 Sumlog: 999876792.1341094136264055916898949 lastprime: 950999999981
951000000000 952000000000 36259229 Prod: 1.0000381081690078165383720 Sumlog: 1000076871.8423418413036299377248198 lastprime: 951999999971
952000000000 953000000000 36255495 Prod: 1.0000380642394508152687028 Sumlog: 1000011966.6165471029615125423576682 lastprime: 952999999979
953000000000 954000000000 36259016 Prod: 1.0000380280119548075614322 Sumlog: 1000147130.4164548540924070439319375 lastprime: 953999999989
954000000000 955000000000 36249796 Prod: 1.0000379785089407314706834 Sumlog: 999930810.6516712202165695845122754 lastprime: 954999999997
955000000000 956000000000 36248442 Prod: 1.0000379373460983094414626 Sumlog: 999931415.6007456393190526720410286 lastprime: 955999999979
956000000000 957000000000 36248898 Prod: 1.0000378981572573709458141 Sumlog: 999981913.9249750371515903832945661 lastprime: 956999999987
957000000000 958000000000 36252142 Prod: 1.0000378619659012249128003 Sumlog: 1000109284.1801359208878082208916266 lastprime: 957999999973
958000000000 959000000000 36241560 Prod: 1.0000378114218859644031006 Sumlog: 999855184.0807946787056948674586844 lastprime: 958999999987
959000000000 960000000000 36248408 Prod: 1.0000377791532992906411160 Sumlog: 1000081907.0191334387374875083248426 lastprime: 959999999999
960000000000 961000000000 36241211 Prod: 1.0000377323254522588833823 Sumlog: 999921096.3760856678557213356084713 lastprime: 960999999959
961000000000 962000000000 36240835 Prod: 1.0000376926906540293309385 Sumlog: 999948433.6600284934658675658921688 lastprime: 961999999991
962000000000 963000000000 36243476 Prod: 1.0000376562713894554383326 Sumlog: 1000058979.8717441953504824329361973 lastprime: 962999999987
963000000000 964000000000 36241764 Prod: 1.0000376154109780883539692 Sumlog: 1000049375.1909993325222413676250789 lastprime: 963999999979
964000000000 965000000000 36236522 Prod: 1.0000375709768487727924801 Sumlog: 999942316.4468127914213336161313719 lastprime: 964999999993
965000000000 966000000000 36237340 Prod: 1.0000375329085689820615586 Sumlog: 1000002441.9754968660680068444105095 lastprime: 965999999999
966000000000 967000000000 36239767 Prod: 1.0000374965860126823936340 Sumlog: 1000106931.7701939996324888699172961 lastprime: 966999999961
967000000000 968000000000 36234682 Prod: 1.0000374525725694761565115 Sumlog: 1000004073.0538017104075028469912918 lastprime: 967999999951
968000000000 969000000000 36225647 Prod: 1.0000374045719360603236773 Sumlog: 999792148.4841615490302208745365941 lastprime: 968999999969
969000000000 970000000000 36230910 Prod: 1.0000373714188446061425587 Sumlog: 999974791.9448559038760938083755982 lastprime: 969999999977
970000000000 971000000000 36232627 Prod: 1.0000373346790017744925467 Sumlog: 1000059535.4131042954249320114938342 lastprime: 970999999987
971000000000 972000000000 36225833 Prod: 1.0000372892563137568158194 Sumlog: 999909319.9649254871719441177872438 lastprime: 971999999987
972000000000 973000000000 36228768 Prod: 1.0000372539295575543550373 Sumlog: 1000027604.9736383396925167000842095 lastprime: 972999999971
973000000000 974000000000 36225264 Prod: 1.0000372120614123371616431 Sumlog: 999968113.9584988069683868804317481 lastprime: 973999999993
974000000000 975000000000 36229417 Prod: 1.0000371781359343306770918 Sumlog: 1000119951.3566063900128441302853137 lastprime: 974999999999
975000000000 976000000000 36222278 Prod: 1.0000371327058252497509515 Sumlog: 999960027.9366597908530002833045995 lastprime: 975999999991
976000000000 977000000000 36225961 Prod: 1.0000370984499364634461731 Sumlog: 1000098819.0113071596395779195096527 lastprime: 976999999991
977000000000 978000000000 36220587 Prod: 1.0000370549982645944500761 Sumlog: 999987531.6447789750617874527749980 lastprime: 977999999969
978000000000 979000000000 36217354 Prod: 1.0000370138248139219743055 Sumlog: 999935305.6037116922025777702070683 lastprime: 978999999931
979000000000 980000000000 36215565 Prod: 1.0000369742089842331772978 Sumlog: 999922905.1254674547046828662255641 lastprime: 979999999919
980000000000 981000000000 36218949 Prod: 1.0000369399496837589932136 Sumlog: 1000053296.9966721646450198233254205 lastprime: 980999999989
981000000000 982000000000 36214987 Prod: 1.0000368982761777854062607 Sumlog: 999980817.0801788701723901245966193 lastprime: 981999999997
982000000000 983000000000 36215026 Prod: 1.0000368607590002344490550 Sumlog: 1000018773.4791749597503683085171280 lastprime: 982999999903
983000000000 984000000000 36212271 Prod: 1.0000368204767593647614652 Sumlog: 999979538.2261012532570244509236744 lastprime: 983999999989
984000000000 985000000000 36208445 Prod: 1.0000367791915402812856339 Sumlog: 999910680.7983603425617918502952393 lastprime: 984999999983
985000000000 986000000000 36213779 Prod: 1.0000367472827416269866227 Sumlog: 1000094747.0485090194242007533554832 lastprime: 985999999993
986000000000 987000000000 36211526 Prod: 1.0000367077480714495789333 Sumlog: 1000069252.8635601871504501351891123 lastprime: 986999999989
987000000000 988000000000 36207264 Prod: 1.0000366662584122454640377 Sumlog: 999988231.9992404438583926504106465 lastprime: 987999999989
988000000000 989000000000 36205550 Prod: 1.0000366274308331524256818 Sumlog: 999977539.3517468901260352634734295 lastprime: 988999999993
989000000000 990000000000 36205364 Prod: 1.0000365902278877840521878 Sumlog: 1000009008.3923376762296661717162041 lastprime: 989999999981
990000000000 991000000000 36199430 Prod: 1.0000365472937546499511140 Sumlog: 999881674.7754749531487137072245348 lastprime: 990999999973
991000000000 992000000000 36201568 Prod: 1.0000365125886500074621567 Sumlog: 999977260.0600607772866329260618576 lastprime: 991999999999
992000000000 993000000000 36204598 Prod: 1.0000364788519648209976829 Sumlog: 1000097453.2757808979303762626266836 lastprime: 992999999983
993000000000 994000000000 36197548 Prod: 1.0000364350387814193174497 Sumlog: 999939158.9920624920826767515634271 lastprime: 993999999997
994000000000 995000000000 36200984 Prod: 1.0000364018563934663325811 Sumlog: 1000070496.5828500338643069387810857 lastprime: 994999999999
995000000000 996000000000 36197781 Prod: 1.0000363620712353678219426 Sumlog: 1000018392.2570007504864186850774648 lastprime: 995999999987
996000000000 997000000000 36196723 Prod: 1.0000363245187239850619526 Sumlog: 1000025505.8069259366166040624561963 lastprime: 996999999997
997000000000 998000000000 36193050 Prod: 1.0000362844207603347530094 Sumlog: 999960331.3078604391568357486432332 lastprime: 997999999961
998000000000 999000000000 36193600 Prod: 1.0000362486319180248149473 Sumlog: 1000011793.2258025649434780740817093 lastprime: 998999999993
999000000000 1000000000000 36192139 Prod: 1.0000362109025271018407632 Sumlog: 1000007655.0495319095806686265977084 lastprime: 999999999989

Written by meditationatae

April 15, 2015 at 4:33 am

Posted in History

## Graph on large highly abundant numbers, cf. Keith Briggs, Abundant Numbers and the Riemann Hypothesis

cf. Briggs 2006, Figure 3 Bottom, for a comparison:

Written by meditationatae

April 8, 2015 at 8:23 am

Posted in History

## Dr. Thomas T. Noguchi, LA County Coroner, 1969 UPI story

Noguchi Back As LA Coroner

LOS ANGELES (UPI) -Dr. Thomas T. Noguchi today was reinstated to the post of County Coroner, the job he was fired from five months ago amid charges he needed psychiatric care. The Civil Service Commission overruled county supervisors who dropped the Japanese-born pathologist from his \$31,000-a-year post last March 18. The commission heard 21 days of testimony in considering Noguchi’s appeal of the dismissal. Noguchi said at the end of the hearing he was confident he would get his job back. He did not testify on his own behalf so he could return to his job with a “spotless” record, said Godfrey Isaac, his attorney. The commission heard testimony on 60 specific charges against the coroner, five of which were dismissed for lack of evidence. The accusations were some of the most bizarre ever lodged against a public official.

Detailed in a 10-page letter prepared by Lindon S. Holer, the county administrative officer, they included reports Noguchi prayed for airplane crashes that would bring glory to the coroner’s office and expressing a desire to perform autopsies on county officials, including Hollinger. who were still alive. Deputy County Counsel Martin Weekes charged at the hearing that as Robert F. Kennedy fought for his life at Good Samaritan Hospital, Noguchi danced in his office in glee and said: “I am going to be famous. I hope he dies. Because if he dies, then my international reputation will be established.” Isaac blamed many of the allegations on people outside the coroner’s office misunderstanding the “graveyard humor” within. He denied all the charges “generally and specifically” and summoned character witnesses to testify on behalf of Noguchi.

Written by meditationatae

March 27, 2015 at 7:52 pm

Posted in History

## PGP PUBLIC KEY BLOCK: [david2@localhost ~]\$ gpg2 –export –armor “David Bernier (doubledeckerpot7) “

—–BEGIN PGP PUBLIC KEY BLOCK—–
Version: GnuPG v2
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=pvTe
—–END PGP PUBLIC KEY BLOCK—–

Written by meditationatae

March 2, 2015 at 2:09 am

Posted in History

## Formatted output of pi computation to about 9300 decimals in JS/Linux virtual Linux Box (Fabrice Bellard)

0003
14159265358979323846264338327950288419716939937510 50 decimals
58209749445923078164062862089986280348253421170679 100 decimals
82148086513282306647093844609550582231725359408128
48111745028410270193852110555964462294895493038196
44288109756659334461284756482337867831652712019091
45648566923460348610454326648213393607260249141273
72458700660631558817488152092096282925409171536436
78925903600113305305488204665213841469519415116094
33057270365759591953092186117381932611793105118548
07446237996274956735188575272489122793818301194912
98336733624406566430860213949463952247371907021798
60943702770539217176293176752384674818467669405132
00056812714526356082778577134275778960917363717872
14684409012249534301465495853710507922796892589235
42019956112129021960864034418159813629774771309960
51870721134999999837297804995105973173281609631859
50244594553469083026425223082533446850352619311881
71010003137838752886587533208381420617177669147303
59825349042875546873115956286388235378759375195778
18577805321712268066130019278766111959092164201989 1000 decimals

38095257201065485863278865936153381827968230301952
03530185296899577362259941389124972177528347913151
55748572424541506959508295331168617278558890750983
81754637464939319255060400927701671139009848824012
85836160356370766010471018194295559619894676783744
94482553797747268471040475346462080466842590694912
93313677028989152104752162056966024058038150193511
25338243003558764024749647326391419927260426992279
67823547816360093417216412199245863150302861829745
55706749838505494588586926995690927210797509302955
32116534498720275596023648066549911988183479775356
63698074265425278625518184175746728909777727938000
81647060016145249192173217214772350141441973568548
16136115735255213347574184946843852332390739414333
45477624168625189835694855620992192221842725502542
56887671790494601653466804988627232791786085784383
82796797668145410095388378636095068006422512520511
73929848960841284886269456042419652850222106611863
06744278622039194945047123713786960956364371917287
46776465757396241389086583264599581339047802759009 2000 decimals

94657640789512694683983525957098258226205224894077
26719478268482601476990902640136394437455305068203
49625245174939965143142980919065925093722169646151
57098583874105978859597729754989301617539284681382
68683868942774155991855925245953959431049972524680
84598727364469584865383673622262609912460805124388
43904512441365497627807977156914359977001296160894
41694868555848406353422072225828488648158456028506
01684273945226746767889525213852254995466672782398
64565961163548862305774564980355936345681743241125
15076069479451096596094025228879710893145669136867
22874894056010150330861792868092087476091782493858
90097149096759852613655497818931297848216829989487
22658804857564014270477555132379641451523746234364
54285844479526586782105114135473573952311342716610
21359695362314429524849371871101457654035902799344
03742007310578539062198387447808478489683321445713
86875194350643021845319104848100537061468067491927
81911979399520614196634287544406437451237181921799
98391015919561814675142691239748940907186494231961 3000 decimals

56794520809514655022523160388193014209376213785595
66389377870830390697920773467221825625996615014215
03068038447734549202605414665925201497442850732518
66600213243408819071048633173464965145390579626856
10055081066587969981635747363840525714591028970641
40110971206280439039759515677157700420337869936007
23055876317635942187312514712053292819182618612586
73215791984148488291644706095752706957220917567116
72291098169091528017350671274858322287183520935396
57251210835791513698820914442100675103346711031412
67111369908658516398315019701651511685171437657618
35155650884909989859982387345528331635507647918535
89322618548963213293308985706420467525907091548141
65498594616371802709819943099244889575712828905923
23326097299712084433573265489382391193259746366730
58360414281388303203824903758985243744170291327656
18093773444030707469211201913020330380197621101100
44929321516084244485963766983895228684783123552658
21314495768572624334418930396864262434107732269780
28073189154411010446823252716201052652272111660396 4000 decimals

66557309254711055785376346682065310989652691862056
47693125705863566201855810072936065987648611791045
33488503461136576867532494416680396265797877185560
84552965412665408530614344431858676975145661406800
70023787765913440171274947042056223053899456131407
11270004078547332699390814546646458807972708266830
63432858785698305235808933065757406795457163775254
20211495576158140025012622859413021647155097925923
09907965473761255176567513575178296664547791745011
29961489030463994713296210734043751895735961458901
93897131117904297828564750320319869151402870808599
04801094121472213179476477726224142548545403321571
85306142288137585043063321751829798662237172159160
77166925474873898665494945011465406284336639379003
97692656721463853067360965712091807638327166416274
88880078692560290228472104031721186082041900042296
61711963779213375751149595015660496318629472654736
42523081770367515906735023507283540567040386743513
62222477158915049530984448933309634087807693259939
78054193414473774418426312986080998886874132604721 5000 decimals

56951623965864573021631598193195167353812974167729
47867242292465436680098067692823828068996400482435
40370141631496589794092432378969070697794223625082
21688957383798623001593776471651228935786015881617
55782973523344604281512627203734314653197777416031
99066554187639792933441952154134189948544473456738
31624993419131814809277771038638773431772075456545
32207770921201905166096280490926360197598828161332
31666365286193266863360627356763035447762803504507
77235547105859548702790814356240145171806246436267
94561275318134078330336254232783944975382437205835
31147711992606381334677687969597030983391307710987
04085913374641442822772634659470474587847787201927
71528073176790770715721344473060570073349243693113
83504931631284042512192565179806941135280131470130
47816437885185290928545201165839341965621349143415
95625865865570552690496520985803385072242648293972
85847831630577775606888764462482468579260395352773
48030480290058760758251047470916439613626760449256
27420420832085661190625454337213153595845068772460 6000 decimals

29016187667952406163425225771954291629919306455377
99140373404328752628889639958794757291746426357455
25407909145135711136941091193932519107602082520261
87985318877058429725916778131496990090192116971737
27847684726860849003377024242916513005005168323364
35038951702989392233451722013812806965011784408745
19601212285993716231301711444846409038906449544400
61986907548516026327505298349187407866808818338510
22833450850486082503930213321971551843063545500766
82829493041377655279397517546139539846833936383047
46119966538581538420568533862186725233402830871123
28278921250771262946322956398989893582116745627010
21835646220134967151881909730381198004973407239610
36854066431939509790190699639552453005450580685501
95673022921913933918568034490398205955100226353536
19204199474553859381023439554495977837790237421617
27111723643435439478221818528624085140066604433258
88569867054315470696574745855033232334210730154594
05165537906866273337995851156257843229882737231989
87571415957811196358330059408730681216028764962867 7000 decimals

44604774649159950549737425626901049037781986835938
14657412680492564879855614537234786733039046883834
36346553794986419270563872931748723320837601123029
91136793862708943879936201629515413371424892830722
01269014754668476535761647737946752004907571555278
19653621323926406160136358155907422020203187277605
27721900556148425551879253034351398442532234157623
36106425063904975008656271095359194658975141310348
22769306247435363256916078154781811528436679570611
08615331504452127473924544945423682886061340841486
37767009612071512491404302725386076482363414334623
51897576645216413767969031495019108575984423919862
91642193994907236234646844117394032659184044378051
33389452574239950829659122850855582157250310712570
12668302402929525220118726767562204154205161841634
84756516999811614101002996078386909291603028840026
91041407928862150784245167090870006992821206604183
71806535567252532567532861291042487761825829765157
95984703562226293486003415872298053498965022629174
87882027342092222453398562647669149055628425039127 8000 decimals

57710284027998066365825488926488025456610172967026
64076559042909945681506526530537182941270336931378
51786090407086671149655834343476933857817113864558
73678123014587687126603489139095620099393610310291
61615288138437909904231747336394804575931493140529
76347574811935670911013775172100803155902485309066
92037671922033229094334676851422144773793937517034
43661991040337511173547191855046449026365512816228
82446257591633303910722538374218214088350865739177
15096828874782656995995744906617583441375223970968
34080053559849175417381883999446974867626551658276
58483588453142775687900290951702835297163445621296
40435231176006651012412006597558512761785838292041
97484423608007193045761893234922927965019875187212
72675079812554709589045563579212210333466974992356
30254947802490114195212382815309114079073860251522
74299581807247162591668545133312394804947079119153
26734302824418604142636395480004480026704962482017
92896476697583183271314251702969234889627668440323
26092752496035799646925650493681836090032380929345 9000 decimals

95889706953653494060340216654437558900456328822505
45255640564482465151875471196218443965825337543885 9100 decimals
69094113031509526179378002974120766514793942590298
96959469955657612186561967337862362561252163208628 9200 decimals
69222103274889218654364802296780705765615144632046
92790682120738837781423356282360896320806822246801 9300 decimals
2248
“The Joy of Pi” online gives the block of 10 digits from number 9291 to 9300
as follows:

6822246801

On the Web:

http://www.joyofpi.com/pi.html

—————————–

Written by meditationatae

February 26, 2015 at 5:50 am

Posted in History

## Raw output of pi computation to about 9300 decimals in JS/Linux virtual Linux Box ( Fabrice Bellard)

00031415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632788659361533818279682303019520353018529689957736225994138912497217752834791315155748572424541506959508295331168617278558890750983817546374649393192550604009277016711390098488240128583616035637076601047101819429555961989467678374494482553797747268471040475346462080466842590694912933136770289891521047521620569660240580381501935112533824300355876402474964732639141992726042699227967823547816360093417216412199245863150302861829745557067498385054945885869269956909272107975093029553211653449872027559602364806654991198818347977535663698074265425278625518184175746728909777727938000816470600161452491921732172147723501414419735685481613611573525521334757418494684385233239073941433345477624168625189835694855620992192221842725502542568876717904946016534668049886272327917860857843838279679766814541009538837863609506800642251252051173929848960841284886269456042419652850222106611863067442786220391949450471237137869609563643719172874677646575739624138908658326459958133904780275900994657640789512694683983525957098258226205224894077267194782684826014769909026401363944374553050682034962524517493996514314298091906592509372216964615157098583874105978859597729754989301617539284681382686838689427741559918559252459539594310499725246808459872736446958486538367362226260991246080512438843904512441365497627807977156914359977001296160894416948685558484063534220722258284886481584560285060168427394522674676788952521385225499546667278239864565961163548862305774564980355936345681743241125150760694794510965960940252288797108931456691368672287489405601015033086179286809208747609178249385890097149096759852613655497818931297848216829989487226588048575640142704775551323796414515237462343645428584447952658678210511413547357395231134271661021359695362314429524849371871101457654035902799344037420073105785390621983874478084784896833214457138687519435064302184531910484810053706146806749192781911979399520614196634287544406437451237181921799983910159195618146751426912397489409071864942319615679452080951465502252316038819301420937621378559566389377870830390697920773467221825625996615014215030680384477345492026054146659252014974428507325186660021324340881907104863317346496514539057962685610055081066587969981635747363840525714591028970641401109712062804390397595156771577004203378699360072305587631763594218731251471205329281918261861258673215791984148488291644706095752706957220917567116722910981690915280173506712748583222871835209353965725121083579151369882091444210067510334671103141267111369908658516398315019701651511685171437657618351556508849099898599823873455283316355076479185358932261854896321329330898570642046752590709154814165498594616371802709819943099244889575712828905923233260972997120844335732654893823911932597463667305836041428138830320382490375898524374417029132765618093773444030707469211201913020330380197621101100449293215160842444859637669838952286847831235526582131449576857262433441893039686426243410773226978028073189154411010446823252716201052652272111660396665573092547110557853763466820653109896526918620564769312570586356620185581007293606598764861179104533488503461136576867532494416680396265797877185560845529654126654085306143444318586769751456614068007002378776591344017127494704205622305389945613140711270004078547332699390814546646458807972708266830634328587856983052358089330657574067954571637752542021149557615814002501262285941302164715509792592309907965473761255176567513575178296664547791745011299614890304639947132962107340437518957359614589019389713111790429782856475032031986915140287080859904801094121472213179476477726224142548545403321571853061422881375850430633217518297986622371721591607716692547487389866549494501146540628433663937900397692656721463853067360965712091807638327166416274888800786925602902284721040317211860820419000422966171196377921337575114959501566049631862947265473642523081770367515906735023507283540567040386743513622224771589150495309844489333096340878076932599397805419341447377441842631298608099888687413260472156951623965864573021631598193195167353812974167729478672422924654366800980676928238280689964004824354037014163149658979409243237896907069779422362508221688957383798623001593776471651228935786015881617557829735233446042815126272037343146531977774160319906655418763979293344195215413418994854447345673831624993419131814809277771038638773431772075456545322077709212019051660962804909263601975988281613323166636528619326686336062735676303544776280350450777235547105859548702790814356240145171806246436267945612753181340783303362542327839449753824372058353114771199260638133467768796959703098339130771098704085913374641442822772634659470474587847787201927715280731767907707157213444730605700733492436931138350493163128404251219256517980694113528013147013047816437885185290928545201165839341965621349143415956258658655705526904965209858033850722426482939728584783163057777560688876446248246857926039535277348030480290058760758251047470916439613626760449256274204208320856611906254543372131535958450687724602901618766795240616342522577195429162991930645537799140373404328752628889639958794757291746426357455254079091451357111369410911939325191076020825202618798531887705842972591677813149699009019211697173727847684726860849003377024242916513005005168323364350389517029893922334517220138128069650117844087451960121228599371623130171144484640903890644954440061986907548516026327505298349187407866808818338510228334508504860825039302133219715518430635455007668282949304137765527939751754613953984683393638304746119966538581538420568533862186725233402830871123282789212507712629463229563989898935821167456270102183564622013496715188190973038119800497340723961036854066431939509790190699639552453005450580685501956730229219139339185680344903982059551002263535361920419947455385938102343955449597783779023742161727111723643435439478221818528624085140066604433258885698670543154706965747458550332323342107301545940516553790686627333799585115625784322988273723198987571415957811196358330059408730681216028764962867446047746491599505497374256269010490377819868359381465741268049256487985561453723478673303904688383436346553794986419270563872931748723320837601123029911367938627089438799362016295154133714248928307220126901475466847653576164773794675200490757155527819653621323926406160136358155907422020203187277605277219005561484255518792530343513984425322341576233610642506390497500865627109535919465897514131034822769306247435363256916078154781811528436679570611086153315044521274739245449454236828860613408414863776700961207151249140430272538607648236341433462351897576645216413767969031495019108575984423919862916421939949072362346468441173940326591840443780513338945257423995082965912285085558215725031071257012668302402929525220118726767562204154205161841634847565169998116141010029960783869092916030288400269104140792886215078424516709087000699282120660418371806535567252532567532861291042487761825829765157959847035622262934860034158722980534989650226291748788202734209222245339856264766914905562842503912757710284027998066365825488926488025456610172967026640765590429099456815065265305371829412703369313785178609040708667114965583434347693385781711386455873678123014587687126603489139095620099393610310291616152881384379099042317473363948045759314931405297634757481193567091101377517210080315590248530906692037671922033229094334676851422144773793937517034436619910403375111735471918550464490263655128162288244625759163330391072253837421821408835086573917715096828874782656995995744906617583441375223970968340800535598491754173818839994469748676265516582765848358845314277568790029095170283529716344562129640435231176006651012412006597558512761785838292041974844236080071930457618932349229279650198751872127267507981255470958904556357921221033346697499235630254947802490114195212382815309114079073860251522742995818072471625916685451333123948049470791191532673430282441860414263639548000448002670496248201792896476697583183271314251702969234889627668440323260927524960357996469256504936818360900323809293459588970695365349406034021665443755890045632882250545255640564482465151875471196218443965825337543885690941130315095261793780029741207665147939425902989695946995565761218656196733786236256125216320862869222103274889218654364802296780705765615144632046927906821207388377814233562823608963208068222468012248

Written by meditationatae

February 26, 2015 at 5:15 am

Posted in History

## Colossally abundant number with prime factors 2 to 999,781,070,909

The program superabun3842a.out finished around January 6th. It searched for highly abundant numbers. The output was re-directed to a file. Afterwards, I wanted to check independently the values of log(N) and sigma(N)/N found by the program. Each N is given in shortened prime factorization form. In this form, adequate with non-increasing exponents for the primes, only the starting index and/or ending index for some exponent are given.

For example,

1 44
2 27
3 18
4 15
5 12
6 11
7 10
9  9
10 8
13 7
20 6
33 5
69 4
222 3
1673 2
106913 1

37599987402 0

is the number N where 2 has exponent 44, 3 has exponent 27, 5 has exponent 18, 7 has exponent 15, 11 has exponent 12, 13 has exponent 11, 17 and 19 have exponent 10. The number 19 is the 8th prime, and its exponent in the factorization of N is 10, the same as for the 7th prime 17. So we skip 8, and at the 9th prime, 23, the exponent is 9. For the 10th prime, the exponent is 8. The 11th and 12th primes also have exponent 8 in N. The 13th through the 19th primes have exponent 7 in N. The 20th through the 32nd primes have exponent 6 in N. The 33rd through the 68th primes have exponent 5 in N. The 69th through the 221st primes have exponent 4 in N. The 222nd through the 1672nd prime have exponent 3 in N. The 1673rd through the 106912nd primes have exponent 2 in N. The 106913rd through the 37599987401st primes have exponent 1 in N. The primes starting at the 37599987402 do not divide N. According to my calculations, the 37599987401st prime is 999,781,070,909 or just under 10^12 .  It took 40 hours independently to sum the logarithms of the primes from

2 to 10^12:

[david2@localhost eratosthenes7]\$ time ./eratosthsiv3630a.out

size of int is: 4
size of long is: 8
size of char is: 1

pi(1000000000000) = 37607912018

sum_logs_primes = 999999030333.09622463699607903975308725646673
real 2365m37.094s
user 2364m50.247s
sys 0m2.488s

[david2@localhost eratosthenes7]\$

The following command in the PARI/gp calculator,

? count = 37599987401; forprime(q=999781070910 , 1000000000000, count=count+1); count

%196 = 37607912018

implies that if pi(10^12) = 37607912018 then pi(999781070910) = 37599987401. Since 999781070909 is the last prime below 999781070910, 999781070909 is the 37599987401st prime.

Below, the PARI/gp command to sum the logs of primes from 999781070910 to 10^12:

? sumlogprimes=0; forprime(q=999781070910 , 1000000000000, sumlogprimes=sumlogprimes+log(q)); sumlogprimes
%199 = 218964392.249194594870107709322349966327713173580

Then, after Tchebychev,

? thetaCheb = 999999030333.09622463699607903975308725646673-sumlogprimes
%201 = 999780065940.847030042125971330430737290139016826

That is the sum of the logs of primes from 2 to 999781070909 inclusive, calculated in PARI/gp.

Then we calculate the critical exponent (CA numbers) for 999781070909: the largest epsilon for which 999781070909 has exponent 1 in C.A. numbers.

? p=999781070909
%204 = 999781070909
? epsilon
%205 = 8.6159474458768635875553049472001443044 E-15
? epsilon=log(1+1/p)/log(p)
%206 = 3.61994187188332908418733101506308857973891597465 E-14  <=== critical exponent where

999781070909 first attains exponent 1.

g =
(Y)->floor(log((exp((1+epsilon)*log(Y))-1)/(exp(epsilon*log(Y))-1))/log(Y))-1

as a PARI/gp function implements the Erdos-Alaoglu, or Erdos-Alaoglu-Ramanujan formula for the exponent of the prime Y for exponent or critical exponent epsilon.

? g(2)
%207 = 44
? g(17)
%208 = 10
? g(19)
%209 = 10

Next, we calculate contribution to log(N) of exponents larger than 1,

for primes with index 1 [that is , the prime two] to index 106912 inclusive:

? sum4=0; for(X=1,106912, sum4 = sum4+(g(prime(X))-1)*log(prime(X)))
? sum4
%215 = 1412045.01159541398434404224867771016684988078484

? prime(106912)
%212 = 1397233
? g(1397233)
%213 = 2    OK

? prime(106913)
%210 = 1397251
? g(1397251)
%211 = 1  Ok.

Then we need to add thetaCheb and sum4  to get log(N):

? thetaCheb+sum4
%217 = 999781477985.858625456110315372679415000305866707

The abundant numbers program is very long, and was developped in stages. It prints values of log(log(N)) for highly abundant N.

? log(thetaCheb+sum4)
%218 = 27.6308025700349926529916290589321648678391771498

The above is log(log(N)) for the colossally abundant N with critical exponent:

? epsilon=log(1+1/p)/log(p)
%206 = 3.61994187188332908418733101506308857973891597465 E-14

where

p=999781070909 , according to the check-program (short, simple).

The value of log(log(N)) computed by superabun3842a.out is marked by (*****) :

current step number = 17
quotient de Robin: 0.999999972115680424387739328044
loglog n = 27.630802570034992652991629058932                        (*****)
sigma(n’)/n’ = 49.212458972166029828348808887298
record step is at: 37599987401
log(log(n’)) = 27.630802570034992652991629058932                    (*****)
PARI/GP
?
log(thetaCheb+sum4)
%218 = 27.6308025700349926529916290589321648678391771498

log(log(n’)) = 27.630802570034992652991629058932 30 digits OK .

Robin upper bound = 49.212460344422001174357312333199
sigma(n’)/n’ = 49.212458972166029828348808887298

I still  would like to verify independently sigma(N)/N.

=============================================

==============================================

=================================
step at 1
step at 2
step at 3
step at 4
step at 5
step at 6
step at 7
step at 9
step at 10
step at 13
step at 20
step at 33
step at 69
step at 222
step at 1673
step at 106913
step at 37599987401

? for(X=1,1, print(X,” “, g(prime(X))));for(X=2,1000000, if(g(prime(X))<g(prime(X-1)),print(X,” “,g(prime(X)))))

1 44
2 27
3 18
4 15
5 12
6 11
7 10
9 9
10 8
13 7
20 6
33 5
69 4
222 3
1673 2
106913 1

time = 4min, 41,736 ms.
—————————————

? p2=999781070909
%194 = 999781070909

? factor(999781070909)
%195 =
[999781070909 1]
? count = 37599987401; forprime(q=999781070910 , 1000000000000, count=count+1); count
time = 2,294 ms.
%196 = 37607912018

? 37607912018
%197 = 37607912018

? p2
%198 = 999781070909
? factor(999781070909)
%195 =
[999781070909 1]

? count = 37599987401; forprime(q=999781070910 , 1000000000000, count=count+1); count
time = 2,294 ms.
%196 = 37607912018
? 37607912018
%197 = 37607912018
? p2
%198 = 999781070909
? sumlogprimes=0; forprime(q=999781070910 , 1000000000000, sumlogprimes=sumlogprimes+log(q)); sumlogprimes
time = 1min, 25,717 ms.
%199 = 218964392.249194594870107709322349966327713173580
? 999999030333.09622463699607903975308725646673 – sumlogprimes
%200 = 999780065940.847030042125971330430737290139016826
? thetaCheb = 999999030333.09622463699607903975308725646673-sumlogprimes
%201 = 999780065940.847030042125971330430737290139016826
? thetaCheb
%202 = 999780065940.847030042125971330430737290139016826
? p
%203 = 3999819583387
? p=999781070909
%204 = 999781070909
? epsilon
%205 = 8.6159474458768635875553049472001443044 E-15
? epsilon=log(1+1/p)/log(p)
%206 = 3.61994187188332908418733101506308857973891597465 E-14
? \u
g =
(Y)->floor(log((exp((1+epsilon)*log(Y))-1)/(exp(epsilon*log(Y))-1))/log(Y))-1

? g(2)
%207 = 44
? g(17)
%208 = 10
? g(19)
%209 = 10
? prime(106913)
%210 = 1397251
? g(1397251)
%211 = 1
? prime(106912)
%212 = 1397233
? g(1397233)
%213 = 2
? sum=0; for(X=1,106912, sum = sum+(g(prime(X)-1)*log(prime(X)));sum
*** syntax error, unexpected \$end, expecting )-> or ‘,’ or ‘)': …e(X)-1)*log(prime(X)));sum
*** ^-
? sum=0; for(X=1,106912, sum = sum+(g(prime(X))-1)*log(prime(X)))
*** variable name expected: sum=0;for(X=1,106912
*** ^——————–
? sum4=0; for(X=1,106912, sum4 = sum4+(g(prime(X))-1)*log(prime(X)))
time = 7,518 ms.
? sum4
%215 = 1412045.01159541398434404224867771016684988078484
? thetaCheb
%216 = 999780065940.847030042125971330430737290139016826
? thetaCheb+sum4
%217 = 999781477985.858625456110315372679415000305866707
? log(thetaCheb+sum4)
%218 = 27.6308025700349926529916290589321648678391771498
? 37599987401/80000000.0000
%219 = 469.999842512500000000000000000000000000000000000
? 469+1
%220 = 470
? 470*80000000
%221 = 37600000000

[david2@localhost eratosthenes7]\$ time ./eratosthsiv3630a.out

size of int is: 4
size of long is: 8
size of char is: 1

pi(1000000000000) = 37607912018

sum_logs_primes = 999999030333.09622463699607903975308725646673
real 2365m37.094s
user 2364m50.247s
sys 0m2.488s

[david2@localhost eratosthenes7]\$
—————————————

Number of big primes used in making current n is: 37598987400
numloops = 799999

number of steps: 17
44 27 18 15 12 11 10 10 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
record_low_variation_delta = -0.006989192976654998649573742516 record_low_log2n = 27.630802567271308507202087382619

current step number = 1 quotient de Robin: 0.999999972115669543306341175815
loglog n = 27.630802570008049110251729402793

sigma(n’)/n’ = 49.212458972117505944083146994669
record step is at: 1
log(log(n’)) = 27.630802570008049110251729402793 Robin upper bound = 49.212460344374012773540337008566 sigma(n’)/n’ = 49.212458972117505944083146994669
current step number = 2 quotient de Robin: 0.999999972115669796471084435642
loglog n = 27.630802570008454663982266449126

sigma(n’)/n’ = 49.212458972118240723486366399751
record step is at: 2
log(log(n’)) = 27.630802570008454663982266449126 Robin upper bound = 49.212460344374735094103809570873 sigma(n’)/n’ = 49.212458972118240723486366399751
current step number = 3 quotient de Robin: 0.999999972115664106313899496870
loglog n = 27.630802570008965601257088259561

sigma(n’)/n’ = 49.212458972118870713113682345841
record step is at: 2
log(log(n’)) = 27.630802570008965601257088259561 Robin upper bound = 49.212460344375645110391317775089 sigma(n’)/n’ = 49.212458972118870713113682345841
current step number = 4 quotient de Robin: 0.999999972115635775153723508512
loglog n = 27.630802570009302147036379714800

sigma(n’)/n’ = 49.212458972118075879405184158090
record step is at: 2
log(log(n’)) = 27.630802570009302147036379714800 Robin upper bound = 49.212460344376244522796204802772 sigma(n’)/n’ = 49.212458972118075879405184158090
current step number = 5 quotient de Robin: 0.999999972115619954714472491358
loglog n = 27.630802570009754230950421738977

sigma(n’)/n’ = 49.212458972118102510833377823037
record step is at: 2
log(log(n’)) = 27.630802570009754230950421738977 Robin upper bound = 49.212460344377049716986122103593 sigma(n’)/n’ = 49.212458972118102510833377823037
current step number = 6 quotient de Robin: 0.999999972115627194622094540962
loglog n = 27.630802570009921321548063048059

sigma(n’)/n’ = 49.212458972118756404946590923917
record step is at: 2
log(log(n’)) = 27.630802570009921321548063048059 Robin upper bound = 49.212460344377347317440886537232 sigma(n’)/n’ = 49.212458972118756404946590923917
current step number = 7 quotient de Robin: 0.999999972115605325383227100624
loglog n = 27.630802570010189644169063997968

sigma(n’)/n’ = 49.212458972118158067902126921320
record step is at: 2
log(log(n’)) = 27.630802570010189644169063997968 Robin upper bound = 49.212460344377825219460274166564 sigma(n’)/n’ = 49.212458972118158067902126921320
current step number = 8 quotient de Robin: 0.999999972115590010552154801447
loglog n = 27.630802570010491991110406975108

sigma(n’)/n’ = 49.212458972117942889168174424680
record step is at: 2
log(log(n’)) = 27.630802570010491991110406975108 Robin upper bound = 49.212460344378363721258163843418 sigma(n’)/n’ = 49.212458972117942889168174424680
current step number = 9 quotient de Robin: 0.999999972115625084463154265373
loglog n = 27.630802570010723843389296918164

sigma(n’)/n’ = 49.212458972120081908309822115148
record step is at: 2
log(log(n’)) = 27.630802570010723843389296918164 Robin upper bound = 49.212460344378776666957142892032 sigma(n’)/n’ = 49.212458972120081908309822115148
current step number = 10 quotient de Robin: 0.999999972115668176324314499768
loglog n = 27.630802570011070195311542746581

sigma(n’)/n’ = 49.212458972122819442656764330207
record step is at: 2
log(log(n’)) = 27.630802570011070195311542746581 Robin upper bound = 49.212460344379393544812772822695 sigma(n’)/n’ = 49.212458972122819442656764330207
current step number = 11 quotient de Robin: 0.999999972115634517989633902184
loglog n = 27.630802570011619423140264094097

sigma(n’)/n’ = 49.212458972122141247705688916999
record step is at: 2
log(log(n’)) = 27.630802570011619423140264094097 Robin upper bound = 49.212460344380371759349701059424 sigma(n’)/n’ = 49.212458972122141247705688916999
current step number = 12 quotient de Robin: 0.999999972115652463082734815002
loglog n = 27.630802570012276867855209347208

sigma(n’)/n’ = 49.212458972124195326503784859111
record step is at: 2
log(log(n’)) = 27.630802570012276867855209347208 Robin upper bound = 49.212460344381542715997843477838 sigma(n’)/n’ = 49.212458972124195326503784859111
current step number = 13 quotient de Robin: 0.999999972115666879890460152981
loglog n = 27.630802570013206414835827203974

sigma(n’)/n’ = 49.212458972126560403524500125030
record step is at: 2
log(log(n’)) = 27.630802570013206414835827203974 Robin upper bound = 49.212460344383198306486248011687 sigma(n’)/n’ = 49.212458972126560403524500125030
current step number = 14 quotient de Robin: 0.999999972115679079789989644612
loglog n = 27.630802570014600907757977282106

sigma(n’)/n’ = 49.212458972129644483407768658400
record step is at: 222
log(log(n’)) = 27.630802570014600907757977282106 Robin upper bound = 49.212460344385681999366972068265 sigma(n’)/n’ = 49.212458972129644483407768658400
current step number = 15 quotient de Robin: 0.999999972115680283018417941615
loglog n = 27.630802570016921922813175727773

sigma(n’)/n’ = 49.212458972133837593020364535794
record step is at: 1673
log(log(n’)) = 27.630802570016921922813175727773 Robin upper bound = 49.212460344389815895263526016736 sigma(n’)/n’ = 49.212458972133837593020364535794
current step number = 16 quotient de Robin: 0.999999972115680415057292588568
loglog n = 27.630802570021508921629356897342

sigma(n’)/n’ = 49.212458972142013867823292313363
record step is at: 106913
log(log(n’)) = 27.630802570021508921629356897342 Robin upper bound = 49.212460344397985672336379988117 sigma(n’)/n’ = 49.212458972142013867823292313363
current step number = 17
quotient de Robin: 0.999999972115680424387739328044
loglog n = 27.630802570034992652991629058932
sigma(n’)/n’ = 49.212458972166029828348808887298
record step is at: 37599987401
log(log(n’)) = 27.630802570034992652991629058932
PARI/GP
?
log(thetaCheb+sum4)
%218 = 27.6308025700349926529916290589321648678391771498

log(log(n’)) = 27.630802570034992652991629058932 30 digits OK .

Robin upper bound = 49.212460344422001174357312333199
sigma(n’)/n’ = 49.212458972166029828348808887298
=================================

Written by meditationatae

January 15, 2015 at 8:19 am

Posted in History