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A057172 Numbers n such that (6^n + 1)/7 is a prime. +0
2
3, 11, 31, 43, 47, 59, 107, 811, 2819, 4817, 9601, 33581, 38447, 41341 (list; graph; listen)
OFFSET

1,1

LINKS

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.

Eric Weisstein's World of Mathematics, Repunit

H. Lifchitz, Mersenne and Fermat primes field

MATHEMATICA

lst={}; Do[p=(6^n+1)/7; If[PrimeQ[p], AppendTo[lst, n]], {n, 7!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 29 2008]

CROSSREFS

Adjacent sequences: A057169 A057170 A057171 this_sequence A057173 A057174 A057175

Sequence in context: A003523 A018781 A119215 this_sequence A071568 A093406 A097081

KEYWORD

nonn

AUTHOR

njas, Sep 15 2000

EXTENSIONS

a(12) was discovered by Kamil Duszenko, Jul 15 2003; a(13) was discovered by Henri Lifchitz Sep 15 2007; a(14) was discovered by Paul Bourdelais, Oct 01 2007.

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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