## The b-numbers below 256

The numbers k with k == 5 (mod 8), and s(k-2) = k with s(.) the hypothetical sequence generated by Turing Machine #4, are what I’ve called “b-numbers” for basic numbers.

I haven’t succeeded in finding any rule that determines the whole sequence. Below, I copy the 26 b-numbers below 256. I’ve found this to be a hard problem.

b-numbers below 256:

5

13

21

29

37

45

53

61

77

85

93

101

109

117

125

149

173

181

189

205

213

221

229

237

245

253

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