## `numlib::mersenne` -- Mersenne primes

#### Introduction

`numlib::mersenne`() returns the list of all known Mersenne primes.

#### Call(s)

`numlib::mersenne()`

#### Returns

`numlib::mersenne``()` returns a list of natural numbers.

#### Details

- `numlib::mersenne``()` returns the list of the 38 primes `p`, as known today, Jan 1, 2000, such that the `p`-th Mersenne number `2^p - 1` is prime.

#### Example 1

The list containing all the primes such that the -th Mersenne number is prime (as known today):

    >> numlib::mersenne()

          [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]

#### Background

- see `http://www.utm.edu/research/primes/largest.html/`

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