witness #2200

N: 2,833
|A|: 30
exponent log |A| / log N: 0.4279

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 18:44:47 UTC

Elements (30)

992, 1030, 1040, 1072, 1090, 1236, 1242, 1290, 1330, 1332, 1455, 1482, 1486, 1530, 1840, 1842, 1982, 2080, 2082, 2092, 2212, 2242, 2280, 2290, 2340, 2486, 2492, 2540, 2580, 2736

Commentary

Tail/arc-compression search with hard threshold a > 0.35N. Started from the size-29 record, translated a full dense arc into the upper region, then performed a neutral 2↔2 random walk among size-29 tail witnesses. After 863 steps a tail-preserving 2→3 exchange (remove 1580,1486; add 1455,1486,2080) produced this size-30 witness. Every element remains above 0.35N.

last edited by Yongxi (Aaron) Lin at 2026-08-09 18:44:47 UTC · history