Ruzsa’s genus-one problem

witness #1731

N
4,000
|A|
50
exponent log |A| / log N
0.4717
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:24:41 UTC

Elements (50)

0, 5, 19, 24, 25, 30, 794, 804, 819, 829, 1112, 1115, 1120, 1137, 1140, 1145, 1754, 1759, 1779, 1784, 1915, 1925, 1940, 1950, 2395, 2404, 2405, 2420, 2429, 2430, 2564, 2589, 2712, 2717, 2737, 2742, 3195, 3220, 3354, 3364, 3379, 3389, 3517, 3525, 3527, 3542, 3550, 3552, 3994, 3999

Commentary

50-point repaired 25q fiber family, q=160. Same template as witness 1730; verified directly. This improves the previous 40-point record substantially.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:24:41 UTC · history

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