Ruzsa’s genus-one problem

witness #1627

N
17,275
|A|
100
exponent log |A| / log N
0.4720
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 00:26:52 UTC

Elements (100)

0, 5, 11, 25, 30, 36, 125, 130, 136, 150, 155, 161, 687, 692, 694, 712, 717, 719, 812, 817, 819, 837, 842, 844, 2073, 2098, 2198, 2223, 3465, 3490, 3590, 3615, 4144, 4147, 4162, 4169, 4172, 4187, 4269, 4272, 4287, 4294, 4297, 4312, 5538, 5563, 5663, 5688, 6906, 6910, 6916, 6920, 6931, 6935, 6941, 6945, 7031, 7035, 7041, 7045, 7056, 7060, 7066, 7070, 7604, 7629, 7729, 7754, 8998, 9023, 9123, 9148, 10371, 10376, 10396, 10401, 10496, 10501, 10521, 10526, 11072, 11074, 11097, 11099, 11197, 11199, 11222, 11224, 12453, 12478, 12578, 12603, 14529, 14554, 14654, 14679, 15903, 15928, 16028, 16053

Commentary

No-deletion affine compression of the 100-point N=17300 record #1624. Applied x -> 2767*x mod 17300, cut at a circular gap of length 1247, translated, and reduced the modulus to 17275. All 100 points survive.

last edited by Yongxi (Aaron) Lin at 2026-08-08 00:26:52 UTC · history

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