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A185240 Numbers n such that (35^n + 1)/36 is prime. 11
11, 13, 79, 127, 503, 617, 709, 857, 1499, 3823, 135623 (list; graph; refs; listen; history; text; internal format)



All terms are primes. a(11) > 10^5.


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

P. Bourdelais, A Generalized Repunit Conjecture

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


Do[ p=Prime[n]; If[ PrimeQ[ (35^p + 1)/36 ], Print[p] ], {n, 1, 9592} ]


(PARI) is(n)=isprime((35^n+1)/36) \\ Charles R Greathouse IV, Feb 17 2017


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. Cf. A084741, A084742, A065507, A126659, A126856.

Sequence in context: A186640 A226242 A116436 * A056446 A023317 A056436

Adjacent sequences:  A185237 A185238 A185239 * A185241 A185242 A185243




Robert Price, Aug 29 2013


a(11)=135623 found as probable prime and added by Paul Bourdelais, Jul 05 2018



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Last modified December 5 10:45 EST 2019. Contains 329751 sequences. (Running on oeis4.)