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A057178 Numbers n such that (12^n + 1)/13 is a prime. +0
2
5, 11, 109, 193, 1483, 11353, 21419, 21911, 24071 (list; graph; listen)
OFFSET

1,1

COMMENT

(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

LINKS

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

MATHEMATICA

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]

CROSSREFS

Different from A056265.

Sequence in context: A090160 A062652 A075706 this_sequence A056265 A041909 A041048

Adjacent sequences: A057175 A057176 A057177 this_sequence A057179 A057180 A057181

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Sep 15 2000

EXTENSIONS

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 05 2008

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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