Ruzsa’s genus-one problem

witness #1920

N
4,575
|A|
50
exponent log |A| / log N
0.4641
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 03:42:40 UTC

Elements (50)

0, 20, 25, 368, 373, 380, 393, 398, 405, 548, 554, 558, 573, 579, 583, 1280, 1305, 1459, 1484, 1835, 1860, 2193, 2200, 2218, 2225, 2374, 2378, 2399, 2403, 3115, 3140, 3299, 3324, 3655, 3665, 3680, 3690, 4023, 4025, 4033, 4048, 4050, 4058, 4209, 4213, 4218, 4234, 4238, 4243, 4570

Commentary

Derived from the N=3675, |A|=49 bounded-error digit template over Z/25 by adjoining the stable digit (u,v)=(2,39). This 50-point family is valid for every q>=177 at modulus N=25q; here q=183.

last edited by Yongxi (Aaron) Lin at 2026-08-09 03:42:40 UTC · history

Log in to add commentary.