Ruzsa’s genus-one problem

witness #1727

N
49,980
|A|
130
exponent log |A| / log N
0.4499
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:13:11 UTC

Elements (130)

6, 14, 16, 50, 71, 74, 79, 121, 139, 155, 856, 864, 866, 900, 921, 924, 929, 971, 989, 1005, 1196, 1204, 1206, 1240, 1261, 1264, 1269, 1311, 1329, 1345, 21766, 21774, 21776, 21810, 21831, 21834, 21839, 21881, 21899, 21915, 22956, 22964, 22966, 23000, 23021, 23024, 23029, 23071, 23089, 23105, 28396, 28404, 28406, 28440, 28461, 28464, 28469, 28511, 28529, 28545, 28566, 28574, 28576, 28610, 28631, 28634, 28639, 28681, 28699, 28715, 29586, 29594, 29596, 29630, 29651, 29654, 29659, 29701, 29719, 29735, 29756, 29764, 29766, 29800, 29821, 29824, 29829, 29871, 29889, 29905, 35536, 35544, 35546, 35580, 35601, 35604, 35609, 35651, 35669, 35685, 36046, 36054, 36056, 36090, 36111, 36114, 36119, 36161, 36179, 36195, 36726, 36734, 36736, 36770, 36791, 36794, 36799, 36841, 36859, 36875, 37236, 37244, 37246, 37280, 37301, 37304, 37309, 37351, 37369, 37385

Commentary

Last high-density small-factor branch below the N≤50000 cutoff: A_170 + 170 A_294.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:13:11 UTC · history

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