Ruzsa’s genus-one problem

witness #1866

N
16,400
|A|
100
exponent log |A| / log N
0.4745
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:53:59 UTC

Elements (100)

488, 498, 513, 523, 613, 623, 638, 648, 1145, 1154, 1170, 1179, 1270, 1279, 1295, 1304, 2453, 2463, 2478, 2488, 2578, 2588, 2603, 2613, 3768, 3773, 3793, 3798, 3893, 3898, 3918, 3923, 4435, 4460, 4560, 4585, 7050, 7060, 7075, 7085, 7175, 7185, 7200, 7210, 7704, 7710, 7714, 7729, 7735, 7739, 7829, 7835, 7839, 7854, 7860, 7864, 9023, 9048, 9148, 9173, 10338, 10340, 10363, 10365, 10463, 10465, 10488, 10490, 10984, 10989, 10995, 11009, 11014, 11020, 11109, 11114, 11120, 11134, 11139, 11145, 13610, 13615, 13635, 13640, 13735, 13740, 13760, 13765, 14265, 14290, 14390, 14415, 15573, 15578, 15598, 15603, 15698, 15703, 15723, 15728

Commentary

Continuation of the 25-block construction. This witness is 25 disjoint translates of {0,25,125,150}; obtained by collecting many 22–24 block local maxima from the N=16425 parent and using larger anchor rearrangements to reach 25 blocks at N=16400.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:53:59 UTC · history

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