Ruzsa’s genus-one problem

witness #1729

N
1,539
|A|
24
exponent log |A| / log N
0.4330
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:23:31 UTC

Elements (24)

151, 181, 200, 239, 244, 295, 389, 406, 475, 497, 500, 584, 610, 686, 773, 797, 986, 1114, 1144, 1313, 1384, 1396, 1502, 1510

Commentary

Found by a compiled full-modulus min-conflicts search starting from the previous size-23 record. Each move attacks an actual violating support, removes one participating point, samples many replacements across all residues mod 1539, and minimizes the exact ordered violation count; occasional tabu restrictions and multi-point shakes escape locally rigid one-violation basins.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:23:31 UTC · history

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