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Old 2020-07-04, 04:53   #853
sweety439
 
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Nov 2016

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k is Sierpinski number base b if....

Code:
k         b
1         (none)
2         (no such b < 201446503145165177)
3         (no such b < 158503)
4         == 14 mod 15
5         == 11 mod 12
6         == 34 mod 35
7         == 5 mod 24 or == 11 mod 12
8         == 20 mod 21 or == 47, 83 mod 195 or == 467 mod 73815 or == 722 mod 1551615
9         == 19 mod 20
10        == 32 mod 33
11        == 5 mod 24 or == 14 mod 15 or == 19 mod 20
12        == 142 mod 143 or == 296, 901 mod 19019 or 562, 828, 900, 1166 mod 1729 or == 563 mod 250705 or == 597, 1143 mod 1885
13        == 20 mod 21 or == 27 mod 28 or == 132, 293 mod 595
14        == 38 mod 39 or == 64 mod 65
15        == 13 mod 14 but not == 1 mod 16
16        == 38, 47, 98, 242 mod 255 or == 50 mod 51 or == 84 mod 85
17        == 11 mod 12 or == 278, 302 mod 435 or == 283, 355, 367, 607, 907 mod 1638 or == 373, 445, 646, 718 mod 819
18        == 322 mod 323 or == 398, 512 mod 1235
19        == 11 mod 12 or == 14 mod 15 or == 29 mod 40
20        == 56 mod 57 or == 132 mod 133
21        == 43 mod 44 or == 54 mod 55
22        == 68 mod 69 or == 160 mod 161
23        (== 21 mod 22 but not == 1 mod 8) or == 32 mod 33 or == 41 mod 48 or == 83 mod 530 or == 182 mod 795
24        == 114 mod 115
25        == 38 mod 39 or == 51 mod 52

Last fiddled with by sweety439 on 2020-07-04 at 15:56
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