Jelaskan Mersenne prime exponents dari Daftar bilangan prima

Primes p such that 2 − 1 is prime.

2, 3, 5, 7, 13, 17, 19, 31, 61, 89,

107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423,

9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049,

216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, 20996011,

24036583, 25964951, 30402457, 32582657, 37156667, 42643801, 43112609 ()

four more are known to be in the sequence, but it is not known whether they are the next:

A subset of Mersenne primes of the form 2 − 1 for prime p.

7, 127, 2147483647, 170141183460469231731687303715884105727 (primes in )

As of June 2017, these are the only known double Mersenne primes, and number theorists think these are probably the only double Mersenne primes.