Ruzsa’s genus-one problem

witness #1612

N
17,450
|A|
100
exponent log |A| / log N
0.4715
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 00:19:12 UTC

Elements (100)

0, 5, 25, 30, 125, 130, 150, 155, 1387, 1397, 1398, 1412, 1422, 1423, 1512, 1522, 1523, 1537, 1547, 1548, 2081, 2089, 2091, 2104, 2106, 2114, 2116, 2129, 2206, 2214, 2216, 2229, 2231, 2239, 2241, 2254, 3490, 3515, 3615, 3640, 4882, 4898, 4907, 4923, 5007, 5023, 5032, 5048, 5586, 5591, 5594, 5599, 5611, 5616, 5619, 5624, 5711, 5716, 5719, 5724, 5736, 5741, 5744, 5749, 6970, 6985, 6995, 7010, 7095, 7110, 7120, 7135, 8382, 8387, 8388, 8407, 8412, 8413, 8507, 8512, 8513, 8532, 8537, 8538, 11868, 11893, 11993, 12018, 12581, 12584, 12606, 12609, 12706, 12709, 12731, 12734, 15363, 15388, 15488, 15513

Commentary

No-deletion affine compression of the 100-point N=17475 record #1611. Applied x -> 3494*x mod 17475, cut at a circular gap of length 1962, translated, and reduced the modulus to 17450. All 100 points survive.

last edited by Yongxi (Aaron) Lin at 2026-08-08 00:19:12 UTC · history

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