

A006598


Numbers n such that 2^(2n+1)  2^(n+1) + 1 is a prime.
(Formerly M3098)


2



1, 3, 23, 36, 39, 56, 75, 83, 119, 120, 176, 183, 228, 683, 1520
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OFFSET

1,2


COMMENTS

These numbers satisfy A100014(n)=2.  Michel Marcus, Mar 07 2013


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

Table of n, a(n) for n=1..15.
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


MATHEMATICA

Do[ If[ PrimeQ[ 2^(2n + 1)  2^(n + 1) + 1 ], Print[n] ], {n, 1, 4000} ]


CROSSREFS

Cf. A007670.
Sequence in context: A058302 A133213 A138465 * A245623 A106892 A116893
Adjacent sequences: A006595 A006596 A006597 * A006599 A006600 A006601


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Robert G. Wilson v


STATUS

approved



