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A229524
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Numbers k such that (38^k + 1)/39 is prime.
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8
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OFFSET
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1,1
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COMMENTS
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All terms are primes. a(9) > 10^5.
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LINKS
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Table of n, a(n) for n=1..9.
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.
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MATHEMATICA
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Do[ p=Prime[n]; If[ PrimeQ[ (38^p + 1)/39 ], Print[p] ], {n, 1, 9592} ]
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PROG
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(PARI) is(n)=ispseudoprime((38^n+1)/39) \\ Charles R Greathouse IV, Feb 17 2017
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CROSSREFS
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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.
Sequence in context: A047940 A229414 A210923 * A288352 A301949 A316709
Adjacent sequences: A229521 A229522 A229523 * A229525 A229526 A229527
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KEYWORD
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hard,more,nonn
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AUTHOR
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Robert Price, Sep 25 2013
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EXTENSIONS
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a(9)=131591 corresponds to a probable prime discovered by Paul Bourdelais, Jul 03 2018
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STATUS
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approved
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