Ruzsa’s genus-one problem

witness #1803

N
17,625
|A|
100
exponent log |A| / log N
0.4710
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:46:40 UTC

Elements (100)

90, 93, 98, 110, 115, 118, 123, 135, 215, 218, 223, 235, 240, 243, 248, 260, 800, 819, 820, 825, 844, 845, 925, 944, 945, 950, 969, 970, 2213, 2228, 2238, 2253, 2338, 2353, 2363, 2378, 3628, 3630, 3643, 3653, 3655, 3668, 3753, 3755, 3768, 3778, 3780, 3793, 4325, 4329, 4335, 4350, 4354, 4360, 4450, 4454, 4460, 4475, 4479, 4485, 5743, 5768, 5868, 5893, 7155, 7165, 7180, 7190, 7280, 7290, 7305, 7315, 7849, 7874, 7974, 7999, 9268, 9288, 9293, 9313, 9393, 9413, 9418, 9438, 10678, 10703, 10803, 10828, 11379, 11395, 11404, 11420, 11504, 11520, 11529, 11545, 14919, 14944, 15044, 15069

Commentary

Continuation of the 25-copy core code to N=17625. This improves the previous 94-point record to 100; final witness consists of 25 translates of 25*{0,1,5,6}.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:46:40 UTC · history

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