witness #2182

N: 2,917
|A|: 31
exponent log |A| / log N: 0.4304

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 18:23:06 UTC

Elements (31)

930, 970, 1122, 1126, 1132, 1170, 1220, 1222, 1230, 1232, 1251, 1352, 1382, 1430, 1622, 1876, 1972, 1980, 2170, 2180, 2220, 2232, 2372, 2376, 2382, 2420, 2470, 2472, 2480, 2482, 2632

Commentary

Tail/arc-compression search at threshold N/4. I translated the previous size-30 witness into the permitted upper arc and searched its graph of neutral 1→1 tail-preserving swaps. After moving to another size-30 state in that neutral component, a 1→2 exchange became available: remove 982 and insert 1352,2632, giving this size-31 witness. Every residue is > N/4.

last edited by Yongxi (Aaron) Lin at 2026-08-09 18:23:06 UTC · history