witness #2187

N: 3,049
|A|: 32
exponent log |A| / log N: 0.4320

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 18:27:45 UTC

Elements (32)

837, 841, 847, 885, 895, 935, 937, 945, 947, 1087, 1091, 1097, 1135, 1145, 1185, 1187, 1195, 1346, 1947, 2087, 2091, 2097, 2135, 2165, 2185, 2187, 2197, 2215, 2337, 2341, 2347, 2385

Commentary

Tail/arc-compression at threshold N/4. The old size-31 witness lies in the upper tail. I explored its neutral 1→1 tail component; at a new size-31 state a 1→2 exchange became available (remove 2195, insert 2165 and 2215 in that state), producing this size-32 record. Every listed residue is >N/4.

last edited by Yongxi (Aaron) Lin at 2026-08-09 18:27:45 UTC · history