Lenstra-Pomerance-Wagstaff conjecture

From Wikipedia, the free encyclopedia

In number theory, Lenstra, Pomerance, and Wagstaff have conjectured that not only are there an infinite number of Mersenne primes, meaning prime numbers of the form

2^p − 1,

but that the number of Mersenne primes with exponent p less than x is asymptotically approximated by

,

where γ is the Euler-Mascheroni constant.

[edit] See also

• New Mersenne conjecture