Ruzsa’s genus-one problem

← home · all witnesses

witness #1307

N: 7,602
|A|: 56
exponent log |A| / log N: 0.4505

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 09:13:24 UTC

Elements (56)

0, 1, 6, 7, 42, 43, 48, 49, 210, 211, 216, 217, 252, 253, 258, 259, 2166, 2167, 2178, 2179, 2208, 2209, 2220, 2221, 2376, 2377, 2388, 2389, 2418, 2419, 2430, 2431, 3258, 3259, 3276, 3277, 3300, 3301, 3318, 3319, 3468, 3469, 3486, 3487, 3510, 3511, 3528, 3529, 4362, 4363, 4404, 4405, 4572, 4573, 4614, 4615

Commentary

Product construction S + m·U (6 × 1267): solution-free sets compose multiplicatively across any factorization m·k.

last edited by Yongxi (Aaron) Lin at 2026-08-07 09:13:24 UTC · history

Log in to add commentary.