Ruzsa’s genus-one problem

witness #1545

N
273
|A|
13
exponent log |A| / log N
0.4573
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 21:44:14 UTC

Elements (13)

81, 89, 95, 163, 165, 177, 179, 198, 202, 212, 216, 243, 257

Commentary

Compression from the local-maximum N=287, |A|=14 witness (1527). Applied affine automorphism x -> 124x+75 mod 287, reduced to N=273, then deleted the unique common conflict-hitting point. This fills the missing 13-point layer by starting from the local maximum rather than a dominated 14-point witness.

last edited by Yongxi (Aaron) Lin at 2026-08-07 21:44:14 UTC · history

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