Not building the set, have the following available.
2, 3, 5, 6, 8, 15, 18, 22, 32, 34, 44, 49, 50, 54, 60, 64, 65, 66, 67, 72, 75, 79, 86, 89, 94, 99, 101, 102, 109, 110, 115, 119, 121, 124, 128, 129, 135, 141, 142, 143, 144, 145, 151, 152, 156, 157, 158, 160, 168, 171, 172, 178, 181, 184, 185, 186, 194, 198, 199, 200, 202, 203, 204, 205, 214, 215, 220, 222, 225, 226, 228, 229, 235, 239, 241, 243, 244, 246, 248, 254, 256, 257, 258, 259, 260, 261, 263, 264, 267, 268, 271, 272, 276, 277, 278, 282, 283, 284, 285, 286, 290, 293
Happy to check buckets.

