

A236530


Numbers n such that (48^n + 1)/49 is prime.


1




OFFSET

1,1


COMMENTS

All terms are primes.
a(5) > 10^5.


LINKS

Table of n, a(n) for n=1..4.
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[ (48^p + 1)/49 ], Print[p] ], {n, 1, 9592} ]


PROG

(PARI) is(n)=ispseudoprime((48^n+1)/49) \\ Charles R Greathouse IV, Jun 13 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, A231865, A235683, A236167.
Sequence in context: A012263 A076448 A096310 * A249520 A248661 A176133
Adjacent sequences: A236527 A236528 A236529 * A236531 A236532 A236533


KEYWORD

hard,more,nonn


AUTHOR

Robert Price, Jan 27 2014


EXTENSIONS

Incorrect first term deleted by Robert Price, Feb 21 2014


STATUS

approved



