I just wrote the combinator. The results of a loop from the main class:
[1, 6, 24, 31, 45, 52, 54, 55, 67, 70]
[6, 7, 25, 30, 32, 42, 50, 57, 67]
[2, 27, 35, 44, 45, 46, 51, 68]
[5, 6, 13, 14, 22, 32, 59]
[3, 10, 14, 22, 26, 33]
[1, 17, 21, 31, 65]
[18, 28, 55, 63]
[2, 5, 58]
[9, 25]
If it is a matter of size:
[1, 2, 3, 5, 9, 10, 12, 13, 14, 16, 17, 19, 21, 23, 25, 26, 27, 28, 29, 31, 32, 35, 38, 39, 41, 44, 46, 47, 49, 50, 52, 53, 54, 59, 60, 62, 63, 68, 69]
[1, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 22, 23, 26, 27, 28, 30, 31, 33, 34, 35, 37, 38, 39, 42, 45, 46, 49, 56, 57, 60, 61, 62, 64, 65, 66]
[1, 3, 5, 6, 9, 13, 15, 18, 20, 21, 22, 23, 24, 27, 28, 29, 31, 32, 33, 34, 36, 38, 40, 45, 47, 48, 50, 51, 52, 55, 56, 59, 61, 64, 65, 66, 70]
[1, 2, 4, 5, 14, 15, 16, 17, 18, 19, 21, 24, 25, 26, 29, 33, 35, 37, 39, 40, 42, 43, 44, 45, 46, 49, 51, 52, 54, 56, 58, 61, 62, 64, 67, 68]
[4, 7, 9, 10, 11, 13, 15, 16, 17, 19, 20, 22, 23, 25, 26, 27, 28, 29, 34, 35, 36, 37, 40, 41, 42, 45, 46, 55, 59, 60, 61, 62, 64, 67, 69]
[2, 4, 7, 8, 10, 13, 14, 16, 19, 20, 23, 26, 28, 29, 32, 35, 36, 37, 39, 42, 44, 45, 47, 48, 50, 54, 59, 61, 63, 64, 66, 68, 69, 70]
[1, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 22, 23, 24, 29, 31, 34, 35, 40, 43, 47, 50, 54, 57, 58, 66, 68, 70]
[1, 2, 4, 8, 9, 10, 11, 13, 20, 21, 23, 27, 28, 29, 31, 32, 33, 34, 38, 39, 43, 44, 45, 46, 47, 49, 50, 53, 55, 57, 66, 67]
[2, 3, 4, 6, 8, 12, 13, 14, 15, 18, 21, 22, 27, 30, 32, 33, 38, 42, 45, 48, 51, 53, 55, 56, 57, 58, 62, 64, 65, 66, 67]
[1, 5, 6, 10, 11, 12, 13, 18, 19, 24, 26, 27, 28, 31, 32, 33, 36, 38, 40, 41, 42, 45, 48, 51, 54, 61, 62, 63, 65, 70]
[1, 2, 4, 6, 7, 8, 9, 14, 17, 18, 19, 20, 25, 26, 27, 30, 31, 32, 35, 36, 39, 44, 47, 49, 52, 55, 60, 69, 70]
[2, 4, 6, 11, 12, 14, 15, 19, 20, 21, 23, 26, 27, 29, 33, 35, 40, 41, 42, 44, 52, 53, 54, 55, 58, 61, 63, 68]
[4, 5, 8, 12, 15, 17, 18, 23, 27, 29, 30, 32, 35, 36, 37, 40, 42, 47, 48, 50, 51, 54, 55, 58, 60, 62, 63]
[1, 2, 4, 5, 6, 7, 10, 12, 13, 14, 16, 18, 19, 23, 25, 29, 31, 33, 42, 46, 50, 52, 55, 57, 61, 63]
[3, 5, 6, 9, 10, 11, 14, 18, 21, 23, 27, 30, 32, 33, 35, 36, 40, 41, 44, 48, 49, 52, 55, 65, 68]
[1, 3, 5, 6, 8, 9, 11, 14, 16, 17, 28, 30, 32, 34, 38, 39, 40, 41, 42, 44, 49, 53, 59, 69]
[2, 3, 6, 12, 20, 24, 26, 30, 32, 34, 35, 39, 41, 44, 47, 49, 51, 53, 54, 59, 60, 61, 65]
[3, 6, 8, 9, 14, 20, 21, 22, 23, 27, 28, 35, 40, 42, 44, 51, 53, 54, 58, 60, 64, 70]
[5, 6, 14, 16, 21, 22, 24, 26, 28, 37, 38, 39, 46, 47, 48, 50, 52, 55, 57, 64, 66]
[4, 5, 7, 9, 12, 15, 17, 18, 21, 23, 32, 35, 37, 39, 40, 42, 56, 62, 63, 65]
[6, 7, 12, 15, 16, 21, 24, 37, 41, 42, 46, 49, 53, 54, 56, 58, 60, 64, 65]
[5, 6, 8, 9, 10, 14, 15, 17, 26, 27, 35, 40, 44, 45, 46, 61, 63, 66]
[1, 18, 21, 22, 23, 27, 28, 31, 33, 34, 35, 37, 40, 48, 51, 56, 61]
[1, 17, 18, 19, 24, 27, 31, 35, 44, 51, 53, 61, 65, 66, 68, 70]
[3, 5, 7, 10, 16, 20, 23, 32, 37, 39, 44, 48, 50, 54, 58]
[5, 7, 12, 17, 24, 26, 30, 31, 38, 40, 49, 57, 61, 64]
[7, 8, 16, 21, 28, 29, 38, 39, 42, 47, 56, 59, 66]
[7, 9, 36, 41, 47, 53, 56, 57, 64, 68, 69, 70]
[3, 20, 35, 36, 45, 49, 50, 52, 65, 66, 69]
[6, 13, 16, 21, 34, 39, 43, 55, 66, 67]
[4, 5, 14, 20, 23, 34, 36, 56, 57]
[7, 12, 22, 37, 42, 49, 58, 69]
[12, 27, 32, 35, 36, 48, 61]
[4, 19, 26, 28, 29, 69]
[1, 8, 17, 35, 46]
[35, 51, 66, 68]
[38, 43, 48]
[5, 56]