Ruzsa’s genus-one problem

witness #1766

N
14,430
|A|
60
exponent log |A| / log N
0.4275
status
superseded — the record is now |A| = 61
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 14:43:39 UTC

Elements (60)

0, 1, 5, 14, 18, 19, 39, 84, 104, 105, 109, 118, 122, 123, 143, 188, 520, 521, 525, 534, 538, 539, 559, 604, 624, 625, 629, 638, 642, 643, 663, 708, 2912, 2913, 2917, 2926, 2930, 2931, 2951, 2996, 3120, 3121, 3125, 3134, 3138, 3139, 3159, 3204, 3432, 3433, 3437, 3446, 3450, 3451, 3471, 3516, 3640, 3641, 3645, 3724

Commentary

Further exact deletion compression of witness #1728. At N=14430, the largest valid subset of the original 64-point seed has size 60; one optimum is obtained by deleting 3654, 3658, 3659, and 3679. The resulting 60-set is insertion-maximal among all residues mod 14430. This is the best score found among the size-60 compression layer.

last edited by Yongxi (Aaron) Lin at 2026-08-08 14:43:39 UTC · history

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