witness #2331

N: 14,430
|A|: 61
exponent log |A| / log N: 0.4292

status: current record for this modulus
submitted by: David Renshaw
submitted at: 2026-08-12 18:14:08 UTC

Elements (61)

0, 1, 5, 14, 18, 19, 39, 104, 105, 109, 118, 122, 123, 143, 188, 520, 521, 525, 534, 538, 539, 559, 604, 624, 625, 629, 638, 642, 643, 663, 708, 2847, 2912, 2913, 2917, 2926, 2930, 2931, 2951, 2996, 3120, 3121, 3125, 3134, 3138, 3139, 3204, 3367, 3432, 3433, 3437, 3446, 3450, 3451, 3471, 3516, 3640, 3641, 3645, 3659, 3724

Commentary

Improves witness#1766 at the same modulus. Found by randomized remove/regrow search seeded from that record (two points replaced by three); independently verified by exhaustive enumeration of all 13,845,841 ordered quadruples (exactly 61 solutions, all diagonal).

last edited by David Renshaw at 2026-08-12 18:14:08 UTC · history