A023040 w such that w^3+x^3+y^3+z^3=0, w>|x|>|y|>|z|, is soluble (all solutions).

6, 9, 12, 16, 18, 19, 20, 24, 25, 27, 28, 29, 30, 32, 34, 36, 38, 39, 40, 41, 42, 44, 45, 46, 48, 50, 51, 53, 54, 55, 56, 57, 58, 60, 63, 64, 66, 67, 68, 69, 70, 71, 72, 75, 76, 78, 80, 81, 82, 84, 85, 87, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 100, 102, 103, 105, 106, 108