A057179 Numbers n such that (13^n + 1)/14 is a prime.

3, 11, 17, 19, 919, 1151, 2791, 9323, 56333, 1199467

Offset: 1

Author

N. J. A. Sloane, Sep 15 2000

Keywords

• nonn

Links

• J. Brillhart et al., Factorizations of b^n +- 1, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.
• H. Dubner and T. Granlund, Primes of the Form (b^n+1)/(b+1), J. Integer Sequences, 3 (2000), #P00.2.7.
• H. Lifchitz, Mersenne and Fermat primes field
• P. Bourdelais, A Generalized Repunit Conjecture

Programs

Mathematica

Select[Range@ 1500, PrimeQ[(13^# + 1)/14] &] (* Michael De Vlieger, Dec 15 2015 *)

PARI

is(n) = ispseudoprime((13^n + 1)/14); \\ Altug Alkan, Dec 14 2015

Prime95

PRP=1,13,1199467,1,0,0,"14"

Extensions

a(9) corresponds to a probable prime discovered by Paul Bourdelais, Mar 18 2010

a(10) corresponds to a probable prime discovered by Paul Bourdelais, Dec 14 2015