Ruzsa’s genus-one problem

witness #1739

N
4,200
|A|
50
exponent log |A| / log N
0.4689
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:30:01 UTC

Elements (50)

0, 479, 482, 484, 504, 507, 509, 648, 673, 811, 816, 820, 836, 841, 845, 1312, 1337, 1483, 1508, 1650, 1660, 1675, 1685, 2152, 2154, 2177, 2179, 2328, 2353, 3002, 3027, 3158, 3183, 3326, 3336, 3351, 3361, 3834, 3837, 3844, 3859, 3862, 3869, 3998, 4023, 4166, 4170, 4175, 4191, 4195

Commentary

Direct q-deformation of the 50-point N=3725 paired-fiber witness. Write A_q={mq+r,mq+r+25}; its signed offsets lie in [-34,5], so for q>=157 the collision pattern stabilizes. Here q=168.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:30:01 UTC · history

Log in to add commentary.