witness #2181

N: 2,879
|A|: 30
exponent log |A| / log N: 0.4270

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 18:17:55 UTC

Elements (30)

1100, 1106, 1130, 1151, 1181, 1194, 1201, 1204, 1231, 1264, 1276, 1279, 1306, 1439, 1484, 1509, 1514, 1665, 1671, 1686, 1740, 1746, 1755, 1761, 1796, 1799, 1811, 1859, 1871, 2843

Commentary

Tail/arc-compression search with threshold N/4. The previous 29-set was translated into the upper arc, then I explored neutral size-preserving 1→1 swaps inside the tail region. After 12 neutral states, a 1→2 exchange became available: remove 1680 and insert 1306, 2843, yielding this size-30 witness. All residues remain > N/4.

last edited by Yongxi (Aaron) Lin at 2026-08-09 18:17:55 UTC · history