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Search: id:A004062
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| A004062 |
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Numbers n such that (6^n - 1)/5 is prime. (Formerly M0861)
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+0 16
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| 2, 3, 7, 29, 71, 127, 271, 509, 1049, 6389, 6883, 10613, 19889, 79987
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Prime repunits in base 6.
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REFERENCES
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J. Brillhart et al., Factorizations of b^n +- 1. Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 2nd edition, 1985; and later supplements.
H. Dubner, Generalized repunit primes, Math. Comp., 61 (1993), 927-930.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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S. S. Wagstaff, Jr., The Cunningham Project
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
J. Brillhart et al., Factorizations of b^n +- 1, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.
H. Lifchitz, Mersenne and Fermat primes field
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MATHEMATICA
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lst={}; Do[If[PrimeQ[(6^n-1)/5], Print[n]; AppendTo[lst, n]], {n, 10^5}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 21 2008]
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CROSSREFS
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Sequence in context: A061092 A084435 A072469 this_sequence A037151 A008840 A156313
Adjacent sequences: A004059 A004060 A004061 this_sequence A004063 A004064 A004065
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KEYWORD
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hard,nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Kamil Duszenko (kdusz(AT)wp.pl), Jun 22 2003
a(14)=79987, discovered Nov 05 2007, is a probable prime based on trial factoring to 1E11 and Fermat primality test base 2. - Paul Bourdelais (paul.bourdelais(AT)gd-ais.com).
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