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A006596 Numbers n such that (2^{2n+1} - 2^{n+1} + 1)/5 is prime.
(Formerly M1325)
0
2, 5, 6, 14, 21, 26, 141, 278, 281, 306, 345, 1365, 2573, 2661, 4766, 5385 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

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

S. S. Wagstaff, Jr., The Cunningham Project

J. Brillhart et al., Factorizations of b^n +- 1, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.

MATHEMATICA

For[ i=1, i<=10000, i++, If[ PrimeQ[ ( 2^(2n+1) - 2^(n+1) + 1)/5 ], Print[ n ] ] ]

CROSSREFS

Sequence in context: A083097 A191229 A191120 * A000092 A100630 A057302

Adjacent sequences:  A006593 A006594 A006595 * A006597 A006598 A006599

KEYWORD

nonn,hard

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Douglas R. Burke (dburke(AT)nevada.edu)

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Last modified February 13 11:49 EST 2012. Contains 205468 sequences.