Ruzsa’s genus-one problem

witness #221666

N
39,783
|A|
125
exponent log |A| / log N
0.455880
status
superseded — the record is now |A| = 126
submitted by
David Renshaw
submitted at
2026-09-28 17:09:13 UTC

Elements (125)

498, 500, 1369, 1397, 1458, 1794, 1856, 1883, 2743, 2764, 3589, 3597, 3678, 3686, 4078, 4081, 5397, 5414, 6289, 6290, 7152, 7195, 7241, 10282, 10342, 10371, 11651, 11714, 11740, 12100, 12149, 12561, 12572, 13411, 13490, 13500, 13864, 13921, 13953, 14314, 14355, 14403, 16560, 16618, 16649, 17029, 17033, 17455, 17491, 17544, 17882, 17948, 17971, 19266, 19305, 19671, 19695, 19760, 19784, 20595, 20628, 21015, 21092, 21104, 21540, 21919, 21956, 22008, 22362, 22397, 22451, 23256, 23271, 23345, 23360, 23701, 23710, 23790, 23799, 25041, 25111, 25130, 25507, 25529, 25939, 25981, 26028, 26395, 26409, 26484, 28627, 28686, 28716, 29064, 29133, 29153, 29504, 29577, 29593, 30460, 30478, 30854, 30879, 30943, 31350, 31356, 32631, 32638, 32720, 32727, 35792, 35843, 36674, 36729, 36763, 37563, 37608, 37652, 38905, 38918, 38994, 39351, 39356, 39440, 39445

Commentary

Local extension, exchange, regrowth or neighboring transfer, seeded from witness #168481; independently checked by exact solution counting.

last edited by David Renshaw at 2026-09-28 17:09:13 UTC · history

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