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A007671 Numbers n such that 2^n + 2^((n + 1)/2) + 1 is prime.
(Formerly M2481)
6
1, 3, 5, 11, 19, 29, 157, 163, 283, 379, 997, 10141, 14699, 77291, 85237, 106693, 203789, 3704053 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
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).
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
PROG
(PARI) for(n=1, 2000, if(n%2==1&&ispseudoprime(2^n+2^((n+1)/2)+1), print1(n, ", "))) \\ Charles R Greathouse IV, Feb 17 2017 edited by Aurelien Gibier Jun 29 2024.
CROSSREFS
Cf. A057429.
Sequence in context: A048161 A284034 A051642 * A259589 A090471 A124098
KEYWORD
nonn,hard,more
AUTHOR
EXTENSIONS
More terms from Robert G. Wilson v, Sep 07 2000
203789 found and proved prime by Mike Oakes, on Sep 28 2000.
a(18) from Serge Batalov, Jun 16 2020
STATUS
approved

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Last modified August 29 15:03 EDT 2024. Contains 375517 sequences. (Running on oeis4.)