A024627 Positions of cubes among the powers of primes (A000961).

1, 7, 16, 28, 43, 87, 118, 153, 245, 361, 605, 699, 930, 1514, 1881, 2294, 2777, 3303, 3591, 5280, 6946, 7892, 10027, 11212, 13871, 18550, 20323, 23151, 26219, 30762, 33157, 41178, 44126, 47156, 57135, 72447, 80965, 85429, 94953, 99932, 110400