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A188803
Primes that divide 2^(2^100) - 1 and 10^(10^100) - 1.
0
3, 17, 257, 641, 65537, 167772161, 2748779069441, 46179488366593, 1328165573307087716353, 188894659314785808547841
OFFSET
1,1
COMMENTS
Probably there are no more terms. [Arkadiusz Wesolowski, Jul 12 2011]
LINKS
G. L. Honaker, Jr. and Chris Caldwell, Prime Curios! 167772161
Eric Weisstein's World of Mathematics, Fermat Number
Eric Weisstein's World of Mathematics, Googolplex
Eric Weisstein's World of Mathematics, Greatest Common Divisor
MATHEMATICA
Select[Sort[Flatten[Table[z = k*2^n + 1; If[PowerMod[2, 2^100, z] == PowerMod[10, 10^100, z] == 1, z], {k, 1, 21, 2}, {n, 75}]]], PrimeQ] (* Arkadiusz Wesolowski, Sep 08 2011 *)
CROSSREFS
Cf. A023394.
Sequence in context: A376008 A201107 A210902 * A084040 A009495 A153487
KEYWORD
fini,full,nonn
AUTHOR
STATUS
approved