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A005808 Numbers n such that (11^n - 1)/10 is prime.
(Formerly M5032)
+0
15
17, 19, 73, 139, 907, 1907, 2029, 4801, 5153, 10867, 20161 (list; graph; listen)
OFFSET

1,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

J. Brillhart et al., Factorizations of b^n +- 1. Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 2nd edition, 1985; and later supplements.

H. Dubner, Generalized repunit primes, Math. Comp., 61 (1993), 927-930.

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.

Henri & Renaud Lifchitz, PRP Records.

H. Lifchitz, Mersenne and Fermat primes field

MATHEMATICA

lst={}; Do[If[PrimeQ[(11^n-1)/10], Print[n]; AppendTo[lst, n]], {n, 10^5}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 21 2008]

CROSSREFS

Cf. A028491, A004061, A004062, A004063, A004023, A004064, A016054, A006032, A006033, A006034, A006035. Cf. A127995, A127996, A127997, A127998, A127999, A128000, A098438, A128002, A128003, A128004, A128005.

Sequence in context: A132239 A075432 A119768 this_sequence A028489 A165320 A132242

Adjacent sequences: A005805 A005806 A005807 this_sequence A005809 A005810 A005811

KEYWORD

hard,nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

a(11) = 20161 was found by Kamil Duszenko Aug 15 2003. - Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 11 2007

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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