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A007670
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Numbers n such that 2^n - 2^((n + 1)/2) + 1 is prime.
(Formerly M2703)
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8
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3, 7, 47, 73, 79, 113, 151, 167, 239, 241, 353, 367, 457, 1367, 3041, 27529, 49207, 160423
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| If A007670 is a proper subset of A057429, then 364289 & 991961 are the next two terms.
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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.
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, Concerning the number 2^(2p)+1, p prime, Math. Comp. 16 (80) (1962) 424-430.
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
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CROSSREFS
| Cf. A006598.
Sequence in context: A000231 A132565 A129518 * A074714 A064457 A005650
Adjacent sequences: A007667 A007668 A007669 * A007671 A007672 A007673
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KEYWORD
| hard,nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 07 2000
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