Ruzsa’s genus-one problem

witness #1893

N
720
|A|
20
exponent log |A| / log N
0.4553
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 00:29:55 UTC

Elements (20)

0, 5, 25, 30, 289, 290, 294, 295, 314, 315, 319, 320, 432, 434, 437, 439, 457, 459, 462, 464

Commentary

Same fixed 20-point digit family extracted from N=645: N=5q and (u,v) -> uq+v. Since all v lie in [0,32], any forbidden relation has |V|<=128; q>=129 forces V=0, and the finite digit template has no nontrivial relation with U=0 mod 5.

last edited by Yongxi (Aaron) Lin at 2026-08-09 00:29:55 UTC · history

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