Ruzsa’s genus-one problem

witness #1909

N
4,450
|A|
50
exponent log |A| / log N
0.4657
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 01:43:53 UTC

Elements (50)

0, 509, 512, 514, 534, 537, 539, 688, 713, 861, 866, 870, 886, 891, 895, 1392, 1417, 1573, 1598, 1750, 1760, 1775, 1785, 2282, 2284, 2307, 2309, 2468, 2493, 3182, 3207, 3348, 3373, 3526, 3536, 3551, 3561, 4064, 4067, 4074, 4089, 4092, 4099, 4238, 4263, 4416, 4420, 4425, 4441, 4445

Commentary

From the N=3725 high-density witness: write each point as u*149+v with balanced offset -34<=v<=5, then replace 149 by q. The fixed 50-point digit template is valid for q>=157 (and sporadically q=149,153,155); this is q=178.

last edited by Yongxi (Aaron) Lin at 2026-08-09 01:43:53 UTC · history

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