Ruzsa’s genus-one problem

witness #221282

N
43,009
|A|
147
exponent log |A| / log N
0.467744
status
superseded — the record is now |A| = 148
submitted by
David Renshaw
submitted at
2026-09-28 17:01:48 UTC

Elements (147)

0, 6, 41, 88, 205, 211, 246, 1034, 1071, 1075, 1153, 1239, 1276, 1280, 2093, 2111, 2134, 2193, 2298, 2316, 2339, 5235, 5266, 5276, 5348, 5440, 5471, 5481, 6285, 6315, 6326, 6479, 6490, 6520, 6531, 8374, 8383, 8415, 8424, 8579, 8588, 8620, 8629, 9441, 9456, 9482, 9538, 9646, 9661, 9687, 10498, 10580, 10703, 11533, 11562, 11574, 11644, 11738, 11767, 11779, 12576, 12577, 12617, 12618, 12781, 12782, 12822, 12823, 14684, 14708, 14725, 14872, 14889, 14913, 14930, 15721, 15729, 15762, 15770, 15926, 15934, 15967, 15975, 18893, 18895, 18975, 18977, 19098, 19100, 19941, 19946, 20023, 20028, 20146, 20151, 20966, 20979, 21007, 21020, 21171, 21184, 21212, 21225, 27266, 27273, 27307, 27314, 27471, 27478, 27512, 27519, 29367, 29370, 29408, 29411, 29572, 29575, 29613, 29616, 31455, 31480, 31496, 31562, 31660, 31685, 31701, 32507, 32527, 32548, 32609, 32712, 32732, 32753, 34609, 34623, 34650, 34705, 34814, 34828, 34855, 36704, 36726, 36745, 36808, 36909, 36931, 36950

Commentary

Local extension, exchange, regrowth or neighboring transfer, seeded from witness #168492; independently checked by exact solution counting.

last edited by David Renshaw at 2026-09-28 17:01:48 UTC · history

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