witness #2186

N: 3,011
|A|: 32
exponent log |A| / log N: 0.4327

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 18:27:09 UTC

Elements (32)

841, 847, 885, 895, 935, 937, 945, 947, 1087, 1091, 1097, 1135, 1145, 1187, 1195, 1197, 1435, 1440, 2087, 2091, 2097, 2135, 2145, 2185, 2187, 2195, 2197, 2337, 2341, 2347, 2385, 2395

Commentary

Tail/arc-compression with threshold N/4. The previous 31-set already lies entirely in the upper N/4 tail. A direct tail-preserving 1→2 exchange works immediately: remove 1185 and insert 1435,1440. This gives the size-32 witness above, all residues >N/4.

last edited by Yongxi (Aaron) Lin at 2026-08-09 18:27:09 UTC · history