A038204 Least k such that factorials have exactly n distinct residues mod k.

1, 2, 3, 5, 7, 11, 22, 25, 55, 13, 26, 17, 34, 57, 76, 95, 23, 46, 29, 58, 31, 62, 93, 155, 319, 37, 74, 129, 41, 82, 47, 94, 141, 235, 53, 106, 59, 118, 71, 142, 61, 67, 134, 73, 146, 219, 365, 511, 79, 158, 237, 395, 553, 1241, 83, 166, 332, 747, 89, 178, 291, 485