witness #478

N: 3,257
|A|: 36
exponent log |A| / log N: 0.4430

status: current record for this modulus
submitted by: David Renshaw
submitted at: 2026-08-04 17:56:09 UTC

Elements (36)

837, 841, 847, 885, 895, 935, 937, 945, 947, 1087, 1091, 1097, 1135, 1145, 1185, 1187, 1195, 1197, 2087, 2091, 2097, 2135, 2145, 2185, 2187, 2195, 2197, 2337, 2341, 2347, 2385, 2395, 2435, 2437, 2445, 2447

Commentary

Found by applying the affine map x -> 408x + 4 modulo 3259 to witness#416 and reducing the resulting representatives modulo 3257; all 36 elements survive without creating a nontrivial solution.

last edited by David Renshaw at 2026-08-04 17:56:22 UTC · history