A231865 Numbers n such that (43^n + 1)/44 is prime.

5, 7, 19, 251, 277, 383, 503, 3019, 4517, 9967, 29573

Offset

1,1

Comments

All terms are primes.

a(11) > 10^5.

Links

Table of n, a(n) for n=1..11.

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

Eric Weisstein's World of Mathematics, Repunit.

Mathematica

Do[ p=Prime[n]; If[ PrimeQ[ (43^p + 1)/44 ], Print[p] ], {n, 1, 9592} ]

Prog

(PARI) is(n)=ispseudoprime((43^n+1)/44) \\ Charles R Greathouse IV, Feb 20 2017

Crossrefs

Cf. A000978 = numbers n such that (2^n + 1)/3 is prime. Cf. A007658, A057171, A057172, A057173, A057175, A001562, A057177, A057178, A057179, A057180, A057181, A057182, A057183, A057184, A057185, A057186, A057187, A057188, A057189, A057190, A057191, A071380, A071381, A071382, A084741, A084742, A065507, A126659, A126856, A185240, A229145, A229524, A230036, A229663, A231604.

Sequence in context: A288405 A280150 A062654 * A130729 A222411 A274022

Adjacent sequences: A231862 A231863 A231864 * A231866 A231867 A231868

Keyword

hard,more,nonn

Author

Robert Price, Nov 14 2013

Status

approved