A103902 - OEIS

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A103902

Mersenne primes p such that the Mersenne number M(p) = 2^p - 1 is composite.

8191, 131071, 524287, 2147483647 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`Only four terms are known.`
	REFERENCES	`R. K. Guy, Unsolved Problems in Number Theory, 3rd ed., Springer-Verlag, NY, 2004, Sec. A3.` `G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 3rd ed., Oxford Univ. Press, 1954, p. 16.` `P. Ribenboim, The New Book of Prime Number Records, Springer-Verlag, NY, 1996, Chap. 2, Sec. VII.`
	LINKS	`C. K. Caldwell, Mersenne Primes: Conjectures and Unsolved Problems` `Eric Weisstein's World of Mathematics, Double Mersenne Number` `Wikipedia, Mersenne prime`
	EXAMPLE	`M(13) = 8191 is a Mersenne prime and M(1891) is composite, so 1891 is a member.`
	CROSSREFS	`Cf. A000043, A000668, A001348, A077585, A077586, A103901.` `Sequence in context: A051334 A145592 A172315 * A075960 A011563 A161010` `Adjacent sequences: A103899 A103900 A103901 * A103903 A103904 A103905`
	KEYWORD	`hard,nonn`
	AUTHOR	`Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Feb 20 2005`

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Last modified February 17 09:30 EST 2012. Contains 206009 sequences.