witness #2003

N: 50,000
|A|: 150
exponent log |A| / log N: 0.4631

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 11:34:41 UTC

Elements (150)

0, 5, 50, 55, 125, 130, 325, 330, 400, 405, 450, 455, 2000, 2023, 2050, 2073, 2125, 2148, 2325, 2348, 2400, 2423, 2450, 2473, 6003, 6018, 6053, 6068, 6128, 6143, 6328, 6343, 6403, 6418, 6453, 6468, 10000, 10015, 10019, 10024, 10050, 10065, 10069, 10074, 10125, 10140, 10144, 10149, 10325, 10340, 10344, 10349, 10400, 10415, 10419, 10424, 10450, 10465, 10469, 10474, 12005, 12013, 12055, 12063, 12130, 12138, 12330, 12338, 12405, 12413, 12455, 12463, 20004, 20054, 20129, 20329, 20404, 20454, 22015, 22023, 22065, 22073, 22140, 22148, 22340, 22348, 22415, 22423, 22465, 22473, 30004, 30005, 30019, 30054, 30055, 30069, 30129, 30130, 30144, 30329, 30330, 30344, 30404, 30405, 30419, 30454, 30455, 30469, 32003, 32005, 32053, 32055, 32128, 32130, 32328, 32330, 32403, 32405, 32453, 32455, 36018, 36023, 36068, 36073, 36143, 36148, 36343, 36348, 36418, 36423, 36468, 36473, 42000, 42003, 42050, 42053, 42125, 42128, 42325, 42328, 42400, 42403, 42450, 42453, 46003, 46053, 46128, 46328, 46403, 46453

Commentary

150-point construction extracted from the N=3025 seed. After multiplying seed by 91, its low digits form a 25-point code C in (Z/25)^2. Tensor vertical coordinate with the 6-point integer witness {0,2,5,13,16,18}; this is valid for all q>=1897. Here q=2000, improving the previous size-118 record.

last edited by Yongxi (Aaron) Lin at 2026-08-09 11:34:41 UTC · history