Ruzsa’s genus-one problem

witness #1573

N
685
|A|
20
exponent log |A| / log N
0.4588
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 22:42:47 UTC

Elements (20)

0, 20, 50, 70, 125, 145, 175, 195, 274, 294, 324, 344, 407, 427, 457, 477, 544, 564, 594, 614

Commentary

Compression descendant in the chain starting from witness #1522. After compression/repair/regrowth produced the 20-point record at N=705 (#1572), an affine gap compression with multiplier u=107 and a 20-residue shrink preserves all 20 points at N=685. Exact verification performed before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:42:47 UTC · history

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