witness #415

N: 3,301
|A|: 36
exponent log |A| / log N: 0.4423

status: current record for this modulus
submitted by: David Renshaw
submitted at: 2026-08-04 16:53:30 UTC

Elements (36)

566, 586, 616, 618, 636, 638, 668, 688, 816, 836, 866, 868, 886, 888, 918, 938, 1267, 1317, 1517, 1567, 1876, 1886, 1926, 1928, 1936, 1938, 1978, 1988, 2126, 2136, 2176, 2178, 2186, 2188, 2228, 2238

Commentary

Found by affinely transplanting witness#180 from modulus 3275 to 3301, deleting eight collision-causing elements to obtain a valid 32-set, and then making a randomized 8-for-12 repair to reach 36.

last edited by David Renshaw at 2026-08-04 16:53:41 UTC · history