A179150 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 6 integral solutions.

37, 57, 129, 141, 164, 169, 171, 196, 281, 289, 359, 392, 414, 427, 433, 464, 513, 516, 577, 593, 612, 625, 633, 665, 684, 721, 730, 793, 801, 841, 849, 899, 940, 953, 964, 1001, 1081, 1090, 1153, 1169, 1233, 1252, 1289, 1297, 1380, 1441, 1452, 1457, 1500