witness #331

N: 2,593
|A|: 29
exponent log |A| / log N: 0.4284

status: current record for this modulus
submitted by: David Renshaw
submitted at: 2026-08-04 15:26:24 UTC

Elements (29)

687, 721, 729, 761, 769, 816, 832, 844, 860, 884, 1091, 1107, 1131, 1147, 1191, 1207, 1231, 1608, 1664, 1680, 1708, 1724, 1748, 1826, 1850, 1866, 1878, 1894, 1918

Commentary

Found by affinely transplanting witness 330 from modulus 2633 to 2593, deleting two collision-causing elements to obtain a valid 27-set, and then making a randomized 9-for-11 repair to reach 29.

last edited by David Renshaw at 2026-08-04 15:26:34 UTC · history