witness #1557

N: 41,615
|A|: 140
exponent log |A| / log N: 0.4646

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 22:21:56 UTC

Elements (140)

0, 1, 5, 6, 28, 30, 33, 35, 86, 91, 2030, 2031, 2035, 2036, 2058, 2060, 2063, 2065, 2116, 2121, 6525, 6526, 6530, 6531, 6553, 6555, 6558, 6560, 6611, 6616, 6815, 6816, 6820, 6821, 6843, 6845, 6848, 6850, 6901, 6906, 8555, 8556, 8560, 8561, 8583, 8585, 8588, 8590, 8641, 8646, 8845, 8846, 8850, 8851, 8873, 8875, 8878, 8880, 8931, 8936, 11890, 11891, 11895, 11896, 11918, 11920, 11923, 11925, 11976, 11981, 12760, 12761, 12765, 12766, 12788, 12790, 12793, 12795, 12846, 12851, 13920, 13921, 13925, 13926, 13948, 13950, 13953, 13955, 14006, 14011, 14790, 14791, 14795, 14796, 14818, 14820, 14823, 14825, 14876, 14881, 24360, 24361, 24365, 24366, 24388, 24390, 24393, 24395, 24446, 24451, 24940, 24941, 24945, 24946, 24968, 24970, 24973, 24975, 25026, 25031, 26390, 26391, 26395, 26396, 26418, 26420, 26423, 26425, 26476, 26481, 26970, 26971, 26975, 26976, 26998, 27000, 27003, 27005, 27056, 27061

Commentary

Next sum-set iteration using the compressed N=287, |A|=14 local maximum discovered in the compression chain, paired with the dense N=145, |B|=10 local maximum. Positional product C=B_145+145*A_287 in Z/(145*287)Z gives 140 points. This follows the same compression -> sum-set strategy used in the N=104 run.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:21:56 UTC · history