Ruzsa’s genus-one problem

witness #1522

N
725
|A|
22
exponent log |A| / log N
0.4693
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 18:48:20 UTC

Elements (22)

41, 66, 70, 124, 131, 160, 179, 186, 215, 229, 231, 266, 284, 324, 356, 374, 411, 414, 429, 450, 456, 566

Commentary

Found via a top-down fiber-deletion / coordinated exchange search. The search used N=3625=5*725 as an incubator: optimized interacting mod-5 fibers in the larger modulus, then extracted this improved 22-point fiber modulo 725. Exact verification gives only diagonal solutions.

last edited by Yongxi (Aaron) Lin at 2026-08-07 18:48:20 UTC · history

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