MersennePrimeExponent
MersennePrimeExponent[n] gives the nth Mersenne prime exponent.
Examples
First Mersenne prime exponent:
MersennePrimeExponent[1]
(* 2 *)First few exponents:
Table[MersennePrimeExponent[n], {n, 1, 5}]
(* {2, 3, 5, 7, 13} *)Please visit the official Wolfram Language Reference for more details.