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A005808
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Numbers n such that (11^n - 1)/10 is prime.
(Formerly M5032)
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15
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17, 19, 73, 139, 907, 1907, 2029, 4801, 5153, 10867, 20161, 293831
(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.
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.
H. Lifchitz, Mersenne and Fermat primes field
Henri & Renaud Lifchitz, PRP Records.
S. S. Wagstaff, Jr., The Cunningham Project
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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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]
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PROG
| (Other) PFGW v3.3.1 [From Paul Bourdelais (pbourdelais(AT)radiantblue.com), Mar 08 2010]
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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 * A180559 A028489 A165320
Adjacent sequences: A005805 A005806 A005807 * A005809 A005810 A005811
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KEYWORD
| hard,nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| a(11) = 20161 was found by Kamil Duszenko Aug 15 2003. - Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 11 2007
a(12)=293831 is a probable prime discovered by Paul Bourdelais (pbourdelais(AT)radiantblue.com), Mar 08 2010
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