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A046067 Smallest m such that (2n-1)2^m+1 is prime, or -1 if no such value exists. +0
7
0, 1, 1, 2, 1, 1, 2, 1, 3, 6, 1, 1, 2, 2, 1, 8, 1, 1, 2, 1, 1, 2, 2, 583, 2, 1, 1, 4, 2, 5, 4, 1, 1, 2, 1, 3, 2, 1, 3, 2, 1, 1, 4, 2, 1, 8, 2, 1, 2, 1, 3, 16, 1, 3, 6, 1, 1, 2, 3, 1, 8, 6, 1, 2, 3, 1, 4, 1, 3, 2, 1, 53, 6, 8, 3, 4, 1, 1, 8, 6, 3, 2, 1, 7, 2, 8, 1, 2, 2, 1, 4, 1, 3, 6, 1, 1, 2, 4, 15, 2 (list; graph; listen)
OFFSET

1,4

COMMENT

There exist odd integers 2k-1 such that (2k-1)2^n+1 is always composite.

REFERENCES

Ribenboim, P. The New Book of Prime Number Records. New York: Springer-Verlag, pp. 357-359, 1996.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Cf. A046068.

Bisection of A040076. Cf. A033809

Adjacent sequences: A046064 A046065 A046066 this_sequence A046068 A046069 A046070

Sequence in context: A128807 A071628 A033809 this_sequence A132066 A102190 A138650

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified November 7 16:45 EST 2009. Contains 166093 sequences.


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