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Search: id:A004064
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| A004064 |
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Numbers n such that (12^n - 1)/11 is prime.
(Formerly M0744)
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+0
15
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| 2, 3, 5, 19, 97, 109, 317, 353, 701, 9739, 14951, 37573, 46889
(list; graph; listen)
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OFFSET
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1,1
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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.
J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 109, p. 38, Ellipses, Paris 2008.
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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J. Brillhart et al., Factorizations of b^n +- 1, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.
S. S. Wagstaff, Jr., The Cunningham Project
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
H. Lifchitz, Mersenne and Fermat primes field
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MATHEMATICA
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lst={}; Do[If[PrimeQ[(12^n-1)/11], 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: A118625 A031133 A028490 this_sequence A164061 A128363 A106047
Adjacent sequences: A004061 A004062 A004063 this_sequence A004065 A004066 A004067
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KEYWORD
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nonn,hard
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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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a(11) from Paul Bourdelais (paul.bourdelais(AT)gd-ais.com), Aug 03 2007
One more term from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 05 2008
a(13)=46889 discovered Sep 10 2008 by Paul Bourdelais - is a probable prime based on trial factoring to 1e13 and Fermat base 2 primality test. Paul Bourdelais (paul.bourdelais(AT)gd-ais.com), Sep 11 2008
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