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

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

Offset

1,1

Links

Table of n, a(n) for n=1..10.

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

Mathematica

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

Prog

(Prime95) PRP=1, 13, 1199467, 1, 0, 0, "14"
(PARI) is(n) = ispseudoprime((13^n + 1)/14); \\ Altug Alkan, Dec 14 2015

Crossrefs

Sequence in context: A291277 A191375 A260793 * A322962 A075334 A056983

Adjacent sequences: A057176 A057177 A057178 * A057180 A057181 A057182

Keyword

nonn

Author

N. J. A. Sloane, Sep 15 2000

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

Status

approved