Ruzsa’s genus-one problem

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witness #1442

N: 8,526
|A|: 56
exponent log |A| / log N: 0.4447

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 09:21:11 UTC

Elements (56)

0, 1, 6, 7, 42, 43, 48, 49, 210, 211, 216, 217, 252, 253, 258, 259, 2430, 2431, 2442, 2443, 2472, 2473, 2484, 2485, 2640, 2641, 2652, 2653, 2682, 2683, 2694, 2695, 3654, 3655, 3672, 3673, 3696, 3697, 3714, 3715, 3864, 3865, 3882, 3883, 3906, 3907, 3924, 3925, 4848, 4849, 4890, 4891, 5058, 5059, 5100, 5101

Commentary

Product construction S + m·U (6 × 1421): solution-free sets compose multiplicatively across any factorization m·k.

last edited by Yongxi (Aaron) Lin at 2026-08-07 09:21:11 UTC · history

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