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Search: id:A004061
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| A004061 |
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Numbers n such that (5^n - 1)/4 is prime. (Formerly M2620)
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+0 41
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| 3, 7, 11, 13, 47, 127, 149, 181, 619, 929, 3407, 10949, 13241, 13873, 16519, 201359
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
H. Dubner, Generalized repunit primes, Math. Comp., 61 (1993), 927-930.
J. Brillhart et al., Factorizations of b^n +- 1. Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 2nd edition, 1985; and later supplements.
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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[(5^n-1)/4], AppendTo[lst, n]], {n, 10^4}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 20 2008]
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CROSSREFS
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Sequence in context: A053728 A059055 A145670 this_sequence A000572 A059568 A003512
Adjacent sequences: A004058 A004059 A004060 this_sequence A004062 A004063 A004064
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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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3 more terms from Kamil Duszenko (kdusz(AT)wp.pl), Mar 25 2003
a(16)=201359 is a probable prime based on trial factoring to 4e13 and Fermat primality testing base 2. Paul Bourdelais (paul.bourdelais(AT)gd-ais.com), Dec 11 2008
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