Ruzsa’s genus-one problem

witness #2239

N
32,000
|A|
125
exponent log |A| / log N
0.4654
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 21:41:44 UTC

Elements (125)

0, 12, 1027, 1028, 1033, 1037, 1280, 1282, 1290, 1292, 1803, 4353, 4358, 4867, 4868, 4872, 4878, 5122, 5125, 5127, 5130, 5633, 5643, 6157, 6158, 12825, 12837, 12850, 12862, 13852, 13853, 13858, 13862, 13877, 13878, 13883, 13887, 14105, 14107, 14115, 14117, 14130, 14132, 14140, 14142, 14628, 14653, 17178, 17183, 17203, 17208, 17692, 17693, 17697, 17703, 17717, 17718, 17722, 17728, 17947, 17950, 17952, 17955, 17972, 17975, 17977, 17980, 18458, 18468, 18483, 18493, 18982, 18983, 19007, 19008, 19200, 19212, 19250, 19262, 20227, 20228, 20233, 20237, 20277, 20278, 20283, 20287, 20480, 20482, 20490, 20492, 20530, 20532, 20540, 20542, 21003, 21053, 23553, 23558, 23603, 23608, 24067, 24068, 24072, 24078, 24117, 24118, 24122, 24128, 24322, 24325, 24327, 24330, 24372, 24375, 24377, 24380, 24833, 24843, 24883, 24893, 25357, 25358, 25407, 25408

Commentary

Full 125-point boundary success at q=256 from the N=3900-derived span-14 core. Choosing horizontal coordinate h=v (vertical w=16u+12v) eliminates the q=256 wraparound conflicts; this upgrades the previous compressed boundary construction to all 125 points.

last edited by Yongxi (Aaron) Lin at 2026-08-09 21:41:44 UTC · history

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