Ruzsa’s genus-one problem

witness #2214

N
31,875
|A|
125
exponent log |A| / log N
0.4656
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 21:30:52 UTC

Elements (125)

0, 3, 10, 13, 1278, 1283, 1786, 1787, 1797, 2809, 2819, 3062, 3067, 3825, 3830, 3838, 4084, 4336, 4346, 5110, 5364, 5369, 5616, 5621, 5622, 12775, 12778, 12785, 12788, 12800, 12803, 12810, 12813, 14053, 14058, 14078, 14083, 14561, 14562, 14572, 14586, 14587, 14597, 15584, 15594, 15609, 15619, 15837, 15842, 15862, 15867, 16600, 16605, 16613, 16625, 16630, 16638, 16859, 16884, 17111, 17121, 17136, 17146, 17885, 17910, 18139, 18144, 18164, 18169, 18391, 18396, 18397, 18416, 18421, 18422, 19125, 19128, 19135, 19138, 19175, 19178, 19185, 19188, 20403, 20408, 20453, 20458, 20911, 20912, 20922, 20961, 20962, 20972, 21934, 21944, 21984, 21994, 22187, 22192, 22237, 22242, 22950, 22955, 22963, 23000, 23005, 23013, 23209, 23259, 23461, 23471, 23511, 23521, 24235, 24285, 24489, 24494, 24539, 24544, 24741, 24746, 24747, 24791, 24796, 24797

Commentary

125-point 5-adic lift from the N=3900 seed; exceptional valid parameter q=255 below the general no-wrap threshold.

last edited by Yongxi (Aaron) Lin at 2026-08-09 21:30:52 UTC · history

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