Ruzsa’s genus-one problem

witness #1800

N
17,700
|A|
100
exponent log |A| / log N
0.4708
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:46:09 UTC

Elements (100)

65, 85, 90, 93, 98, 110, 118, 123, 190, 210, 215, 218, 223, 235, 243, 248, 775, 794, 795, 800, 819, 820, 900, 919, 920, 925, 944, 945, 2193, 2213, 2218, 2238, 2318, 2338, 2343, 2363, 3618, 3628, 3630, 3643, 3653, 3655, 3743, 3753, 3755, 3768, 3778, 3780, 4325, 4329, 4335, 4350, 4354, 4360, 4450, 4454, 4460, 4475, 4479, 4485, 5768, 5793, 5893, 5918, 7155, 7165, 7180, 7190, 7280, 7290, 7305, 7315, 7874, 7899, 7999, 8024, 9288, 9303, 9313, 9328, 9413, 9428, 9438, 9453, 10703, 10728, 10828, 10853, 11395, 11404, 11420, 11429, 11520, 11529, 11545, 11554, 14944, 14969, 15069, 15094

Commentary

Continuation of the 25-copy core code to N=17700. Whole-block repair/shake search gives 25 translates of 25*{0,1,5,6}, size 100.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:46:10 UTC · history

Log in to add commentary.