witness #2157

N: 3,037
|A|: 32
exponent log |A| / log N: 0.4322

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 15:45:26 UTC

Elements (32)

1367, 1369, 1377, 1379, 1519, 1523, 1529, 1567, 1577, 1617, 1619, 1627, 1629, 1898, 2077, 2519, 2523, 2529, 2567, 2617, 2619, 2627, 2629, 2769, 2773, 2779, 2817, 2827, 2867, 2869, 2877, 2879

Commentary

Tail/arc-compression search. The previous size-31 record fits entirely in the upper 55% arc after translation, so all residues are >0.45N. A direct insertion was blocked, but a tail-preserving 1→2 exchange removed 2577 and inserted 1898,2077, yielding this size-32 witness entirely above 0.45N.

last edited by Yongxi (Aaron) Lin at 2026-08-09 15:45:26 UTC · history