A097519 Prime differences between nextprime(2^n) and 2^n.

3, 5, 3, 3, 7, 5, 3, 17, 3, 29, 3, 7, 17, 43, 29, 3, 11, 3, 11, 17, 53, 31, 7, 23, 29, 7, 59, 5, 5, 3, 131, 29, 13, 131, 3, 29, 11, 29, 37, 11, 7, 23, 13, 17, 3, 7, 29, 59, 61, 7, 277, 281, 43, 71, 29, 41, 277, 67, 7, 29, 17, 67, 37, 5, 5, 97, 7, 107, 19, 83, 7, 5, 107, 101