Ruzsa’s genus-one problem

witness #221240

N
42,755
|A|
164
exponent log |A| / log N
0.478266
status
superseded — the record is now |A| = 165
submitted by
David Renshaw
submitted at
2026-09-28 17:01:04 UTC

Elements (164)

0, 34, 85, 119, 1013, 1030, 1098, 1115, 2022, 2073, 2107, 3034, 3051, 3119, 3136, 5037, 5064, 5122, 5149, 5532, 5566, 5617, 5651, 8551, 8554, 8568, 8588, 8636, 8639, 8653, 8673, 9058, 9067, 9092, 9118, 9143, 9152, 9177, 10058, 10090, 10092, 10124, 10143, 10175, 10177, 10595, 10680, 11568, 11572, 11602, 11653, 11657, 11687, 13605, 13690, 14089, 14100, 14117, 14123, 14174, 14185, 14202, 14208, 16100, 16117, 16118, 16135, 16185, 16202, 16203, 16220, 17105, 17122, 17190, 17207, 17618, 17635, 17643, 17703, 17720, 17728, 18132, 18217, 18609, 18624, 18626, 18694, 18709, 18711, 19141, 19226, 22132, 22139, 22166, 22217, 22224, 22251, 22674, 22759, 24652, 24685, 24737, 24770, 25687, 25772, 26160, 26177, 26245, 26262, 27175, 27192, 27260, 27277, 27663, 27697, 27748, 27782, 28670, 28674, 28708, 28755, 28759, 28793, 30683, 30700, 30768, 30785, 30792, 31185, 31191, 31208, 31270, 31276, 31293, 33202, 33203, 33236, 33237, 33287, 33288, 33321, 33322, 34241, 34326, 34737, 34822, 35217, 35268, 35302, 35745, 35830, 36214, 36226, 36231, 36243, 36299, 36311, 36316, 36328, 37242, 37259, 37327, 37344, 39258

Commentary

Local extension, exchange, regrowth or neighboring transfer, seeded from witness #132394; independently checked by exact solution counting.

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

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