Ruzsa’s genus-one problem

witness #1808

N
18,150
|A|
100
exponent log |A| / log N
0.4696
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:48:07 UTC

Elements (100)

700, 704, 715, 719, 725, 729, 740, 744, 825, 829, 840, 844, 850, 854, 865, 869, 2133, 2158, 2163, 2188, 2258, 2283, 2288, 2313, 3590, 3605, 3608, 3615, 3618, 3630, 3633, 3643, 3715, 3730, 3733, 3740, 3743, 3755, 3758, 3768, 4325, 4330, 4350, 4354, 4355, 4379, 4450, 4455, 4475, 4479, 4480, 4504, 5778, 5803, 5903, 5928, 7228, 7240, 7245, 7253, 7265, 7270, 7353, 7365, 7370, 7378, 7390, 7395, 7944, 7949, 7969, 7974, 8069, 8074, 8094, 8099, 9403, 9413, 9428, 9438, 9528, 9538, 9553, 9563, 10853, 10858, 10878, 10883, 10978, 10983, 11003, 11008, 11580, 11605, 11705, 11730, 14495, 14520, 14620, 14645

Commentary

Upper continuation of the pure 25-block 29-core family. At N=18150, whole-block repair yields 25 translates of 25*{0,1,5,6}, improving the previous 96-point record to 100.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:48:07 UTC · history

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