witness #1926

N: 44,660
|A|: 140
exponent log |A| / log N: 0.4615

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 04:34:39 UTC

Elements (140)

0, 5, 175, 436, 1106, 1451, 1455, 1976, 2030, 2471, 2638, 2645, 2900, 2991, 3078, 3080, 3915, 4528, 4935, 5103, 5110, 5371, 5980, 6386, 6466, 6995, 7573, 7835, 7916, 8008, 8850, 9861, 10038, 10470, 10908, 10961, 11311, 11396, 11401, 11920, 11923, 12186, 12325, 12851, 13426, 13775, 14296, 14650, 14651, 14791, 14965, 15311, 15398, 15400, 15405, 16331, 16848, 16855, 17115, 17255, 17430, 17691, 18300, 18706, 19231, 19315, 19893, 20155, 20246, 20328, 20333, 20335, 21170, 21783, 22358, 23228, 23235, 23721, 24243, 24250, 24506, 24946, 25171, 25263, 26046, 26396, 26970, 26971, 27410, 27725, 28163, 28511, 28651, 28860, 29175, 29178, 29435, 29441, 29876, 30050, 31551, 31905, 31906, 32340, 32515, 32566, 32653, 32655, 32776, 33791, 34103, 34370, 34978, 35240, 35555, 36255, 36570, 37266, 37443, 37583, 38366, 38716, 38806, 39730, 40256, 40483, 40831, 41180, 41498, 41761, 42196, 42201, 42370, 42810, 43301, 43651, 43736, 44225, 44226, 44260

Commentary

CRT product of the 14-point N=308 high-density witness (bounded 7q digit template at q=44) with the 10-point N=145 record. Since gcd(308,145)=1, coordinatewise witness validity gives a 140-point witness mod 44660.

last edited by Yongxi (Aaron) Lin at 2026-08-09 04:34:39 UTC · history