A135578 Not the sum of three distinct perfect powers (assuming 1, but not 0, is a perfect power).

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 16, 17, 19, 20, 22, 23, 24, 27, 31, 43, 55, 87, 96, 102, 103, 111, 119, 167, 223, 335, 1391, 1455, 1607, 1679, 1775, 1991, 25887, 26375