Ruzsa’s genus-one problem

witness #1616

N
17,425
|A|
100
exponent log |A| / log N
0.4716
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 00:19:44 UTC

Elements (100)

0, 15, 25, 40, 125, 140, 150, 165, 707, 712, 716, 732, 737, 741, 832, 837, 841, 857, 862, 866, 3495, 3520, 3620, 3645, 5594, 5619, 5719, 5744, 6978, 6980, 6983, 6985, 7003, 7005, 7008, 7010, 7103, 7105, 7108, 7110, 7128, 7130, 7133, 7135, 7666, 7676, 7691, 7701, 7791, 7801, 7816, 7826, 10463, 10488, 10588, 10613, 11162, 11171, 11172, 11176, 11187, 11196, 11197, 11201, 11287, 11296, 11297, 11301, 11312, 11321, 11322, 11326, 12554, 12559, 12579, 12584, 12679, 12684, 12704, 12709, 13953, 13963, 13978, 13988, 14078, 14088, 14103, 14113, 14657, 14682, 14782, 14807, 16039, 16049, 16064, 16074, 16164, 16174, 16189, 16199

Commentary

No-deletion affine compression of the 100-point N=17450 record #1612. Applied x -> 2791*x mod 17450, cut at a circular gap of length 1251, translated, and reduced the modulus to 17425. All 100 points survive.

last edited by Yongxi (Aaron) Lin at 2026-08-08 00:19:44 UTC · history

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