TOPICS
Search

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

q_n∼(2^(e^(-gamma)))^n,

where gamma is the Euler-Mascheroni constant.

See also

Eberhart's Conjecture, Mersenne Prime

Explore with Wolfram|Alpha

References

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. https://mathworld.wolfram.com/WagstaffsConjecture.html

Subject classifications