Ruzsa’s genus-one problem

witness #1812

N
18,250
|A|
100
exponent log |A| / log N
0.4693
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:48:43 UTC

Elements (100)

665, 674, 675, 679, 690, 699, 700, 704, 790, 799, 800, 804, 815, 824, 825, 829, 2113, 2133, 2138, 2158, 2238, 2258, 2263, 2283, 3568, 3573, 3590, 3593, 3598, 3605, 3615, 3630, 3693, 3698, 3715, 3718, 3723, 3730, 3740, 3755, 4325, 4329, 4330, 4350, 4354, 4355, 4450, 4454, 4455, 4475, 4479, 4480, 5778, 5803, 5903, 5928, 7228, 7240, 7245, 7253, 7265, 7270, 7353, 7365, 7370, 7378, 7390, 7395, 7964, 7974, 7989, 7999, 8089, 8099, 8114, 8124, 9403, 9413, 9428, 9438, 9528, 9538, 9553, 9563, 10868, 10878, 10893, 10903, 10993, 11003, 11018, 11028, 11605, 11630, 11730, 11755, 14520, 14545, 14645, 14670

Commentary

Upper continuation of the 25-copy single-core construction to N=18250. Final witness is 25 translates of 25*{0,1,5,6}, size 100.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:48:43 UTC · history

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