A024626 Positions of squares among the powers of primes (A000961).

1, 4, 8, 11, 15, 24, 28, 33, 42, 54, 71, 79, 92, 121, 137, 153, 171, 188, 199, 248, 293, 314, 364, 393, 446, 526, 559, 605, 651, 719, 750, 857, 894, 935, 1050, 1215, 1305, 1348, 1436, 1479, 1581, 1774, 1881, 1938, 1962, 2040, 2206, 2256, 2557, 2616, 2800, 2987