Ruzsa’s genus-one problem

witness #2212

N
31,500
|A|
125
exponent log |A| / log N
0.4662
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 21:30:27 UTC

Elements (125)

0, 3, 10, 13, 1263, 1268, 1765, 1766, 1776, 2776, 2786, 3026, 3031, 3780, 3785, 3793, 4036, 4285, 4295, 5050, 5301, 5306, 5550, 5555, 5556, 12625, 12628, 12635, 12638, 12650, 12653, 12660, 12663, 13888, 13893, 13913, 13918, 14390, 14391, 14401, 14415, 14416, 14426, 15401, 15411, 15426, 15436, 15651, 15656, 15676, 15681, 16405, 16410, 16418, 16430, 16435, 16443, 16661, 16686, 16910, 16920, 16935, 16945, 17675, 17700, 17926, 17931, 17951, 17956, 18175, 18180, 18181, 18200, 18205, 18206, 18900, 18903, 18910, 18913, 18950, 18953, 18960, 18963, 20163, 20168, 20213, 20218, 20665, 20666, 20676, 20715, 20716, 20726, 21676, 21686, 21726, 21736, 21926, 21931, 21976, 21981, 22680, 22685, 22693, 22730, 22735, 22743, 22936, 22986, 23185, 23195, 23235, 23245, 23950, 24000, 24201, 24206, 24251, 24256, 24450, 24455, 24456, 24500, 24505, 24506

Commentary

125-point 5-adic lift extracted from the N=3900 seed: exact 25-point core over (Z/25)^2, optimized to vertical span 14, then fiber-lifted by a 5-point exact code over (Z/5)^2.

last edited by Yongxi (Aaron) Lin at 2026-08-09 21:30:27 UTC · history

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