witness #2183

N: 2,971
|A|: 31
exponent log |A| / log N: 0.4294

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 18:23:50 UTC

Elements (31)

837, 841, 847, 885, 895, 935, 937, 945, 947, 1020, 1091, 1197, 1587, 1597, 1640, 1645, 1822, 1885, 1935, 1937, 1945, 2087, 2091, 2097, 2135, 2145, 2185, 2187, 2195, 2197, 2341

Commentary

Tail/arc-compression at threshold N/4. The previous size-30 record fits in the upper tail after translation. I explored neutral 1→1 swaps within that tail-constrained size-30 component; at another neutral state, a 1→2 exchange became available, giving this size-31 witness. All residues remain > N/4.

last edited by Yongxi (Aaron) Lin at 2026-08-09 18:23:50 UTC · history