Mersenne exponents are the numbers which, as an exponent, give a Mersenne prime..

The exponents known so far are:

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