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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 16 08:40 EDT 2018. Contains 316259 sequences. (Running on oeis4.)