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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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15
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2, 3, 5, 19, 97, 109, 317, 353, 701, 9739, 14951, 37573, 46889
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| 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
| 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
| 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
| Sequence in context: A118625 A031133 A028490 * A164061 A128363 A106047
Adjacent sequences: A004061 A004062 A004063 * A004065 A004066 A004067
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KEYWORD
| nonn,hard
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| 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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