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

1,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

J. Brillhart et al., Factorizations of b^n +- 1. Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 2nd edition, 1985; and later supplements.

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: A105043 A083095 A083097 this_sequence A000092 A100630 A057302

Adjacent sequences: A006593 A006594 A006595 this_sequence 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 November 25 20:09 EST 2009. Contains 167514 sequences.


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