A200861 Prime factors of 10^100 - 1.

3, 3, 11, 41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801, 182521213001, 14103673319201, 78875943472201, 1680588011350901

Offset: 1

Author

Arkadiusz Wesolowski, Nov 23 2011

Keywords

• fini
• full
• nonn

Comments

Is this sequence the same as "Primes p such that 10^p - 1 divides 10^(10^100) - 10"?

Links

• Dario A. Alpern, Known prime factors of Googolplex - 10
• Eric Weisstein's World of Mathematics, Googol

Crossrefs

Subsequence of A178070 except for 3.

Programs

Maple

sort(map(i-> i[1]$i[2], ifactors(10^100-1)[2]))[];  # Alois P. Heinz, Jan 27 2023

Mathematica

Join[{3}, Transpose[FactorInteger[10^100 - 1]][[1]]]

Extensions

Name changed by T. D. Noe and Arkadiusz Wesolowski, Nov 29 2011