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A006035
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Numbers n such that (19^n-1)/18 is prime.
(Formerly M5072)
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14
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19, 31, 47, 59, 61, 107, 337, 1061, 9511, 22051, 209359
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| No others less than 8011. - Julien Peter Benney (jpbenney(AT)ftml.net), Aug 15 2004
a(9) = 9511 was found by Richard Fischer Dec 15 2004. - Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 11 2007
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REFERENCES
| H. Dubner, Generalized repunit primes, Math. Comp., 61 (1993), 927-930.
Ribenboim, Paulo; "The Book Of Prime Number Records"; published 1989 by Springer-Verlag; pages 350-354.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| H. Lifchitz, Mersenne and Fermat primes field
Paul Bourdelais,A Generalized Repunit Conjecture [From Paul Bourdelais (pbourdelais(AT)radiantblue.com), Aug 27 2010]
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MATHEMATICA
| lst={}; Do[If[PrimeQ[(19^n-1)/18], 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), Aug 27 2010]
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CROSSREFS
| Cf. A028491, A004061, A004062, A004063, A004023, A005808, A004064, A016054, A006032, A006033, A006034. Cf. A127995, A127996, A127997, A127998, A127999, A128000, A098438, A128002, A128003, A128004, A128005.
Sequence in context: A096787 A104006 A117065 * A104485 A192505 A033212
Adjacent sequences: A006032 A006033 A006034 * A006036 A006037 A006038
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| One more term from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 05 2008
a(11)=209359 is a probable prime discovered by Paul Bourdelais (pbourdelais(AT)radiantblue.com), Aug 27 2010
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