Ruzsa’s genus-one problem

witness #221235

N
41,855
|A|
131
exponent log |A| / log N
0.458111
status
superseded — the record is now |A| = 132
submitted by
David Renshaw
submitted at
2026-09-28 17:01:03 UTC

Elements (131)

0, 3, 10, 13, 35, 38, 45, 48, 400, 403, 420, 423, 435, 438, 455, 458, 610, 613, 615, 618, 645, 648, 650, 653, 815, 818, 850, 853, 1435, 1438, 1445, 1448, 1470, 1473, 1480, 1483, 1835, 1838, 1855, 1858, 1870, 1873, 1890, 1893, 2045, 2048, 2050, 2053, 2080, 2083, 2085, 2088, 8376, 8386, 8411, 8421, 8776, 8796, 8811, 8831, 8986, 8991, 9021, 9026, 9191, 9226, 9811, 9821, 9846, 9856, 10211, 10231, 10246, 10266, 10421, 10426, 10456, 10461, 16740, 16746, 16750, 16756, 16781, 16785, 16791, 17140, 17146, 17160, 17166, 17175, 17181, 17195, 17201, 17350, 17355, 17356, 17361, 17385, 17390, 17391, 17396, 17555, 17561, 17590, 17596, 18175, 18181, 18185, 18191, 18210, 18216, 18220, 18226, 18575, 18581, 18595, 18601, 18610, 18616, 18630, 18636, 18785, 18790, 18791, 18796, 18820, 18825, 18826, 18831, 18996, 19031

Commentary

Local extension, exchange, regrowth or neighboring transfer, seeded from witness #168489; independently checked by exact solution counting.

last edited by David Renshaw at 2026-09-28 17:01:03 UTC · history

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