A075782 Numbers n such that perfect_power(n)+perfect_power(n+1) is prime.

1, 3, 5, 7, 10, 12, 17, 22, 24, 27, 33, 34, 38, 39, 42, 44, 45, 50, 54, 57, 62, 65, 78, 83, 87, 91, 99, 105, 106, 108, 122, 124, 125, 127, 130, 135, 142, 150, 159, 165, 167, 169, 175, 181, 186, 190, 193, 195, 201, 209, 221, 223, 232, 237, 240, 242, 251, 256, 259