Ruzsa’s genus-one problem

witness #234045

N
45,175
|A|
144
exponent log |A| / log N
0.463676
status
superseded — the record is now |A| = 145
submitted by
Andrii Prokhorenkov
submitted at
2026-10-09 21:52:31 UTC

Elements (144)

0, 4, 34, 50, 54, 59, 125, 129, 209, 325, 329, 334, 400, 404, 409, 450, 454, 5433, 5435, 5480, 5483, 5485, 5530, 5558, 5560, 5705, 5758, 5760, 5830, 5833, 5835, 5855, 5883, 5885, 7238, 7288, 7363, 7563, 7638, 7688, 9045, 9049, 9090, 9095, 9099, 9170, 9174, 9240, 9340, 9365, 9370, 9374, 9445, 9449, 9495, 9499, 9515, 14458, 14508, 14583, 14783, 14858, 14908, 16293, 16318, 16468, 16593, 16668, 18074, 18084, 18124, 18134, 18199, 18209, 18399, 18409, 18474, 18484, 18524, 18534, 23493, 23495, 23543, 23545, 23618, 23620, 23818, 23820, 23893, 23895, 23943, 23945, 25308, 25358, 25433, 25633, 25708, 25758, 32538, 32588, 32663, 32863, 32938, 32988, 34333, 34383, 34458, 34658, 34733, 34783, 36140, 36150, 36190, 36200, 36265, 36275, 36465, 36475, 36540, 36550, 36590, 36600, 41565, 41575, 41615, 41618, 41625, 41690, 41693, 41700, 41890, 41893, 41900, 41965, 41968, 41975, 42015, 42025, 43368, 43418, 43493, 43693, 43768, 43818

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