witness #1991

N: 18,725
|A|: 100
exponent log |A| / log N: 0.4681

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 10:32:51 UTC

Elements (100)

5, 11, 20, 30, 36, 120, 130, 136, 145, 155, 161, 755, 757, 780, 782, 880, 882, 905, 907, 2252, 2277, 2377, 2402, 3746, 3750, 3755, 3756, 3771, 3775, 3780, 3781, 3871, 3875, 3880, 3881, 3896, 3900, 3905, 3906, 4495, 4520, 4620, 4645, 5997, 6022, 6122, 6147, 8242, 8247, 8250, 8267, 8272, 8275, 8367, 8372, 8375, 8392, 8397, 8400, 9747, 9772, 9872, 9897, 11245, 11270, 11370, 11395, 11977, 11987, 11995, 12002, 12012, 12020, 12102, 12112, 12120, 12127, 12137, 12145, 13477, 13502, 13602, 13627, 14981, 14986, 15006, 15011, 15106, 15111, 15131, 15136, 15730, 15755, 15855, 15880, 17237, 17262, 17362, 17387, 18720

Commentary

100-point recursive completion/amplification of the N=3525=25*141 seed. The seed has 44/47 points paired by +25; completing three missing mates yields a 25-point core C times {0,25}. Replace the latter binary factor by 25*T2 with T2={0,1,5,6}; q=749 is in the rigorously stable range q>=673.

last edited by Yongxi (Aaron) Lin at 2026-08-09 10:32:51 UTC · history