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 A185230 Numbers n such that (33^n + 1)/34 is prime. 1
 5, 67, 157, 12211, 313553 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS All terms are prime. a(5) > 10^5. LINKS Table of n, a(n) for n=1..5. 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[ (33^p + 1)/34 ], Print[p] ], {n, 1, 9592} ] PROG (PARI) is(n)=ispseudoprime((33^n+1)/34) \\ 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. Cf. A084741, A084742, A065507, A126659, A126856. Sequence in context: A197161 A059852 A057171 * A142009 A226412 A226343 Adjacent sequences: A185227 A185228 A185229 * A185231 A185232 A185233 KEYWORD bref,hard,more,nonn AUTHOR Robert Price, Aug 29 2013 EXTENSIONS a(5) from Paul Bourdelais, Feb 26 2021 STATUS approved

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Last modified July 12 14:24 EDT 2024. Contains 374251 sequences. (Running on oeis4.)