Ruzsa’s genus-one problem

witness #221447

N
45,035
|A|
137
exponent log |A| / log N
0.459159
status
superseded — the record is now |A| = 140
submitted by
David Renshaw
submitted at
2026-09-28 17:04:07 UTC

Elements (137)

0, 14, 35, 49, 207, 209, 221, 223, 242, 244, 256, 258, 419, 420, 433, 434, 454, 455, 468, 469, 841, 844, 855, 876, 879, 890, 1477, 1512, 1684, 1686, 1719, 1721, 1896, 1897, 1931, 1932, 2318, 2328, 2335, 2353, 2363, 2370, 2961, 2968, 2996, 3003, 3168, 3170, 3175, 3177, 3203, 3205, 3210, 3212, 3380, 3381, 3387, 3388, 3415, 3416, 3422, 3423, 3802, 3809, 3837, 3844, 6752, 6766, 6787, 6801, 7385, 7399, 7420, 7434, 7592, 7594, 7606, 7608, 7627, 7629, 7641, 7643, 7804, 7805, 7818, 7819, 7839, 7840, 7853, 7854, 8226, 8229, 8240, 8261, 8264, 8275, 8862, 8897, 9069, 9071, 9104, 9106, 9281, 9282, 9316, 9317, 9703, 9713, 9720, 9738, 9748, 9755, 10346, 10353, 10381, 10388, 10553, 10555, 10560, 10562, 10588, 10590, 10595, 10597, 10765, 10766, 10772, 10773, 10800, 10801, 10807, 10808, 11187, 11194, 11222, 11229, 44416

Commentary

Local extension, exchange, regrowth or neighboring transfer, seeded from witness #202411; independently checked by exact solution counting.

last edited by David Renshaw at 2026-09-28 17:04:07 UTC · history

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