A383923 Numbers of the form m^p where both p and (m^(p^2) - 1)/(m^p - 1) are prime.
4, 8, 16, 27, 36, 100, 196, 256, 400, 512, 576, 676, 1296, 1331, 1600, 2916, 3136, 4356, 5476, 7056, 8000, 8100, 8836, 9261, 12100, 13456, 14400, 15376, 15876, 16900, 17576, 17956, 21316, 22500, 24336, 25600, 27000, 28900, 30976, 32400, 33856, 41616, 42436, 44100, 50176, 52900
Offset: 1