Ruzsa’s genus-one problem

witness #221239

N
42,500
|A|
163
exponent log |A| / log N
0.477961
status
superseded — the record is now |A| = 164
submitted by
David Renshaw
submitted at
2026-09-28 17:01:04 UTC

Elements (163)

0, 34, 85, 119, 1494, 1516, 1528, 1533, 1579, 1601, 1613, 1618, 1997, 2031, 2082, 2116, 2499, 2530, 2533, 2584, 2615, 2618, 3006, 3007, 3023, 3091, 3092, 3108, 3996, 4019, 4036, 4081, 4104, 4121, 6497, 6506, 6523, 6582, 6591, 6608, 8524, 8609, 9532, 9617, 9994, 9999, 10011, 10079, 10084, 10096, 10531, 10616, 11013, 11098, 11506, 11557, 11591, 12513, 12598, 14502, 14587, 15006, 15057, 15091, 17000, 17085, 17994, 18028, 18079, 18113, 18499, 18533, 18584, 18618, 18997, 19014, 19082, 19099, 19530, 19615, 20007, 20024, 20092, 20109, 20996, 21002, 21081, 21087, 23000, 23017, 23085, 23102, 23514, 23531, 23599, 23616, 25507, 25524, 25592, 25609, 26498, 26515, 26579, 26583, 26600, 27028, 27113, 27996, 27999, 28016, 28081, 28084, 28101, 28523, 28524, 28558, 28608, 28609, 29530, 29615, 31502, 31534, 31536, 31587, 31619, 31997, 32023, 32031, 32082, 32108, 32116, 34007, 34017, 34034, 34058, 34092, 34102, 34119, 34998, 35011, 35028, 35032, 35083, 35096, 35113, 35117, 36496, 36533, 36581, 36618, 38002, 38030, 38036, 38087, 38115, 38121, 40000, 40019, 40034, 40036, 40085, 40104, 40119

Commentary

Local extension, exchange, regrowth or neighboring transfer, seeded from witness #136340; independently checked by exact solution counting.

last edited by David Renshaw at 2026-09-28 17:01:04 UTC · history

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