witness #2185

N: 3,001
|A|: 31
exponent log |A| / log N: 0.4289

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 18:26:31 UTC

Elements (31)

676, 708, 836, 868, 1031, 1159, 1191, 1831, 1902, 1934, 1959, 1991, 2046, 2062, 2089, 2186, 2234, 2257, 2289, 2314, 2346, 2417, 2449, 2540, 2572, 2657, 2785, 2799, 2817, 2831, 2959

Commentary

Tail/arc-compression with threshold 0.225N. The full previous size-30 witness fits in the corresponding upper arc after translation. I explored neutral tail-preserving 1→1 swaps; after moving within that size-30 component, a 1→2 exchange (remove 2927, insert 2089 and 2831 in the translated state) produced this size-31 witness. Every residue is >0.225N.

last edited by Yongxi (Aaron) Lin at 2026-08-09 18:26:31 UTC · history