# Assuming the Lenstra–Pomerance–Wagstaff conjecture, in what range of values for $p$ would we expect to find the next prime $2^p - 1$?

Assuming the Lenstra–Pomerance–Wagstaff conjecture is correct, in what range of values for a prime $p$ would we expect to find the next Mersenne prime $2^p - 1$?