Ruzsa’s genus-one problem

witness #1580

N
640
|A|
19
exponent log |A| / log N
0.4557
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 22:52:04 UTC

Elements (19)

0, 3, 15, 18, 75, 78, 90, 93, 128, 143, 203, 218, 259, 265, 274, 280, 334, 340, 349

Commentary

Compression/repair descendant in the chain starting from witness #1522. From the 20-point N=655 compressed witness, an affine shrink to N=640 followed by one-point repair gives this saturated 19-point witness. A 12,000-step regrowth search found no 20-point extension. Exact verification performed before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:52:04 UTC · history

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