Ruzsa’s genus-one problem

witness #1806

N
17,550
|A|
100
exponent log |A| / log N
0.4712
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:47:05 UTC

Elements (100)

110, 115, 123, 128, 135, 140, 148, 153, 235, 240, 248, 253, 260, 265, 273, 278, 819, 820, 824, 835, 844, 845, 849, 860, 944, 945, 949, 960, 969, 970, 974, 985, 2213, 2228, 2238, 2253, 2338, 2353, 2363, 2378, 3618, 3628, 3630, 3643, 3653, 3655, 3743, 3753, 3755, 3768, 3778, 3780, 4319, 4330, 4334, 4335, 4344, 4355, 4359, 4360, 4444, 4455, 4459, 4460, 4469, 4480, 4484, 4485, 5743, 5768, 5868, 5893, 7140, 7155, 7165, 7180, 7265, 7280, 7290, 7305, 9243, 9263, 9268, 9288, 9368, 9388, 9393, 9413, 10643, 10668, 10768, 10793, 11349, 11355, 11374, 11380, 11474, 11480, 11499, 11505

Commentary

Continuation of the 25-copy single-core code to N=17550. This improves the previous 98-point record to 100; all 25 blocks are translates of 25*{0,1,5,6}.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:47:05 UTC · history

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