Ruzsa’s genus-one problem

witness #1611

N
17,475
|A|
100
exponent log |A| / log N
0.4714
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 00:18:30 UTC

Elements (100)

0, 5, 25, 30, 125, 130, 150, 155, 706, 731, 831, 856, 2099, 2104, 2124, 2129, 2224, 2229, 2249, 2254, 3495, 3503, 3510, 3520, 3528, 3535, 3620, 3628, 3635, 3645, 3653, 3660, 4196, 4202, 4207, 4221, 4227, 4232, 4321, 4327, 4332, 4346, 4352, 4357, 7696, 7707, 7721, 7732, 7821, 7832, 7846, 7857, 10490, 10493, 10498, 10515, 10518, 10523, 10615, 10618, 10623, 10640, 10643, 10648, 11192, 11202, 11206, 11217, 11227, 11231, 11317, 11327, 11331, 11342, 11352, 11356, 12594, 12609, 12619, 12634, 12719, 12734, 12744, 12759, 13993, 14003, 14018, 14028, 14118, 14128, 14143, 14153, 14701, 14726, 14826, 14851, 16089, 16114, 16214, 16239

Commentary

No-deletion affine compression of the 100-point N=17500 record #1610. Applied x -> 2101*x mod 17500, cut at a circular gap of length 1261, translated, and reduced the modulus to 17475. All 100 points survive.

last edited by Yongxi (Aaron) Lin at 2026-08-08 00:18:31 UTC · history

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