A103901 - OEIS

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A103901

Mersenne primes p such that M(p) = 2^p - 1 is also a (Mersenne) prime.

3, 7, 31, 127 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`Same as exponents of double Mersenne primes. 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	`2^2 - 1 = 3 and 2^3 - 1 = 7 are Mersenne primes, so 3 is a member.`
	CROSSREFS	`Cf. A000043, A000668, A001348, A077586, A103902.` `Sequence in context: A173062 A105765 A061095 * A089162 A016047 A003260` `Adjacent sequences: A103898 A103899 A103900 * A103902 A103903 A103904`
	KEYWORD	`nonn`
	AUTHOR	`Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Feb 20 2005`

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Last modified February 14 21:56 EST 2012. Contains 205666 sequences.