A185073 Numbers n such that (34^n - 1)/33 is prime.

13, 1493, 5851, 6379, 125101

Offset: 1

Author

Robert Price, Mar 10 2012

Keywords

• hard
• more
• nonn

Links

• H. Dubner, Generalized repunit primes, Math. Comp., 61 (1993), 927-930.
• H. Lifchitz, Mersenne and Fermat primes field
• P. Bourdelais, A Generalized Repunit Conjecture

Crossrefs

Cf. A028491, A004061, A004062, A004063, A004064, A004023, A005808, A016054, A006032, A006033, A006034, A006035, A098438, A127995-A128005.

Programs

Mathematica

Select[Prime[Range[100]], PrimeQ[(34^#-1)/33]&]

PARI

isok(n) = isprime((34^n-1)/33); \\ Michel Marcus, Mar 13 2016

PARI

lista(nn) = for(n=1, nn, if(ispseudoprime((34^n - 1)/33), print1(n, ", "))); \\ Altug Alkan, Mar 13 2016

Extensions

a(5)=125101 corresponds to a probable prime discovered by Paul Bourdelais, Nov 20 2017