Wagstaff's Conjecture

A modification of the Eberhart's conjecture proposed by Wagstaff (1983) which proposes that if q_n is the nth prime such that M_(q_n) is a Mersenne prime, then


where gamma is the Euler-Mascheroni constant.

See also

Eberhart's Conjecture, Mersenne Prime

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Ribenboim, P. The New Book of Prime Number Records. New York: Springer-Verlag, p. 412, 1996.Wagstaff, S. S. "Divisors of Mersenne Numbers." Math. Comput. 40, 385-397, 1983.

Cite this as:

Weisstein, Eric W. "Wagstaff's Conjecture." From MathWorld--A Wolfram Web Resource.

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