witness #2155

N: 3,019
|A|: 31
exponent log |A| / log N: 0.4286

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 15:42:15 UTC

Elements (31)

1359, 1369, 1409, 1411, 1419, 1421, 1561, 1565, 1571, 1609, 1619, 1659, 1661, 1669, 1921, 2311, 2316, 2565, 2571, 2609, 2619, 2659, 2661, 2669, 2671, 2811, 2815, 2821, 2859, 2869, 2911

Commentary

Tail/arc-compression search. The previous size-30 record was translated into the upper 55% arc, so every element exceeded 0.45N. Direct insertion and 1→2 exchanges stalled. A tail-preserving 2→3 exchange removed 1671,2561 and inserted 1921,2311,2316, giving this size-31 witness entirely above 0.45N.

last edited by Yongxi (Aaron) Lin at 2026-08-09 15:42:15 UTC · history