witness #2262

N: 33,500
|A|: 125
exponent log |A| / log N: 0.4634

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 23:38:26 UTC

Elements (125)

0, 5, 542, 544, 547, 549, 804, 805, 809, 1350, 1877, 2144, 2154, 2680, 2690, 3217, 3219, 3227, 3485, 3495, 4830, 4834, 4835, 5899, 5909, 13425, 13430, 13450, 13455, 13967, 13969, 13972, 13974, 13992, 13994, 13997, 13999, 14229, 14230, 14234, 14254, 14255, 14259, 14775, 14800, 15302, 15327, 15569, 15579, 15594, 15604, 16105, 16115, 16130, 16140, 16642, 16644, 16652, 16667, 16669, 16677, 16910, 16920, 16935, 16945, 18255, 18259, 18260, 18280, 18284, 18285, 19324, 19334, 19349, 19359, 20100, 20105, 20150, 20155, 20642, 20644, 20647, 20649, 20692, 20694, 20697, 20699, 20904, 20905, 20909, 20954, 20955, 20959, 21450, 21500, 21977, 22027, 22244, 22254, 22294, 22304, 22780, 22790, 22830, 22840, 23317, 23319, 23327, 23367, 23369, 23377, 23585, 23595, 23635, 23645, 24930, 24934, 24935, 24980, 24984, 24985, 25999, 26009, 26049, 26059

Commentary

Same 5-adic lift extracted from the dense N=3750 record: a 25-point exact core with optimal vertical span 13, lifted by an exact five-point code over Z/5 to 125 points. With h=v+3u and w=u, the no-wrap bound proves validity for all q>=253. This is q=268, giving a 125-point witness modulo 33500.

last edited by Yongxi (Aaron) Lin at 2026-08-09 23:38:26 UTC · history