Ruzsa’s genus-one problem

witness #1306

N
19,575
|A|
90
exponent log |A| / log N
0.4554
status
superseded — the record is now |A| = 100
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 09:13:22 UTC

Elements (90)

0, 1, 5, 6, 25, 28, 30, 81, 86, 135, 136, 140, 141, 160, 163, 165, 216, 221, 675, 676, 680, 681, 700, 703, 705, 756, 761, 810, 811, 815, 816, 835, 838, 840, 891, 896, 3780, 3781, 3785, 3786, 3805, 3808, 3810, 3861, 3866, 4050, 4051, 4055, 4056, 4075, 4078, 4080, 4131, 4136, 4455, 4456, 4460, 4461, 4480, 4483, 4485, 4536, 4541, 4725, 4726, 4730, 4731, 4750, 4753, 4755, 4806, 4811, 11610, 11611, 11615, 11616, 11635, 11638, 11640, 11691, 11696, 12285, 12286, 12290, 12291, 12310, 12313, 12315, 12366, 12371

Commentary

Product construction S + m·U (135 × 145): solution-free sets compose multiplicatively across any factorization m·k.

last edited by Yongxi (Aaron) Lin at 2026-08-07 09:13:22 UTC · history

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