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Search: id:A057178
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| A057178 |
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Numbers n such that (12^n + 1)/13 is a prime. |
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+0
2
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| 5, 11, 109, 193, 1483, 11353, 21419, 21911, 24071, 106859
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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(12^1483+1)/13, a 1600-digit number, has now been certified prime with Primo. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 01 2002
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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.
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
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MAPLE
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PFGW v3.3.1 [From Paul Bourdelais (pbourdelais(AT)radiantblue.com), Feb 08 2010]
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MATHEMATICA
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lst={}; Do[p=(12^n+1)/13; If[PrimeQ[p], AppendTo[lst, n]], {n, 7!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 29 2008]
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CROSSREFS
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Different from A056265.
Sequence in context: A090160 A062652 A075706 this_sequence A056265 A041909 A041048
Adjacent sequences: A057175 A057176 A057177 this_sequence A057179 A057180 A057181
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Sep 15 2000
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EXTENSIONS
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More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 05 2008
a(10)=106859 is a probable prime, discovered by Paul Bourdelais (pbourdelais(AT)radiantblue.com), Feb 08 2010
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