witness #1287

N: 45,150
|A|: 140
exponent log |A| / log N: 0.4611

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 09:11:59 UTC

Elements (140)

1800, 1801, 1805, 1806, 1829, 1831, 1834, 1836, 1889, 1894, 3450, 3451, 3455, 3456, 3479, 3481, 3484, 3486, 3539, 3544, 7500, 7501, 7505, 7506, 7529, 7531, 7534, 7536, 7589, 7594, 9900, 9901, 9905, 9906, 9929, 9931, 9934, 9936, 9989, 9994, 15450, 15451, 15455, 15456, 15479, 15481, 15484, 15486, 15539, 15544, 18600, 18601, 18605, 18606, 18629, 18631, 18634, 18636, 18689, 18694, 20250, 20251, 20255, 20256, 20279, 20281, 20284, 20286, 20339, 20344, 20400, 20401, 20405, 20406, 20429, 20431, 20434, 20436, 20489, 20494, 24300, 24301, 24305, 24306, 24329, 24331, 24334, 24336, 24389, 24394, 26700, 26701, 26705, 26706, 26729, 26731, 26734, 26736, 26789, 26794, 27600, 27601, 27605, 27606, 27629, 27631, 27634, 27636, 27689, 27694, 37200, 37201, 37205, 37206, 37229, 37231, 37234, 37236, 37289, 37294, 43800, 43801, 43805, 43806, 43829, 43831, 43834, 43836, 43889, 43894, 44400, 44401, 44405, 44406, 44429, 44431, 44434, 44436, 44489, 44494

Commentary

Product construction S + m·U iterated (150 × 301): solution-free sets compose multiplicatively across any factorization m·k. Factors: 10-element set mod 150 and the 14-element N=301 record.

last edited by Yongxi (Aaron) Lin at 2026-08-07 09:11:59 UTC · history