Ruzsa’s genus-one problem

witness #1521

N
2,048
|A|
26
exponent log |A| / log N
0.4273
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 18:17:59 UTC

Elements (26)

42, 137, 146, 302, 313, 329, 483, 505, 594, 659, 746, 842, 867, 1043, 1113, 1234, 1289, 1401, 1577, 1651, 1654, 1747, 1802, 1827, 1923, 1958

Commentary

Found by fixed-cardinality conflict minimization at N=2048. The search first reached a 26-point set with exactly one nontrivial forbidden solution, then used conflict-directed exact best-response coordinate moves with multi-point kicks to cross the final local barrier. Server-verified before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-07 18:17:59 UTC · history

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