Ruzsa’s genus-one problem

witness #3184

N
47,650
|A|
150
exponent log |A| / log N
0.4652
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-17 17:49:12 UTC

Elements (150)

0, 5, 50, 55, 125, 130, 325, 330, 400, 405, 450, 455, 1906, 1929, 1956, 1979, 2031, 2054, 2231, 2254, 2306, 2329, 2356, 2379, 5721, 5736, 5771, 5786, 5846, 5861, 6046, 6061, 6121, 6136, 6171, 6186, 9530, 9545, 9549, 9554, 9580, 9595, 9599, 9604, 9655, 9670, 9674, 9679, 9855, 9870, 9874, 9879, 9930, 9945, 9949, 9954, 9980, 9995, 9999, 10004, 11441, 11449, 11491, 11499, 11566, 11574, 11766, 11774, 11841, 11849, 11891, 11899, 19064, 19114, 19189, 19389, 19464, 19514, 20981, 20989, 21031, 21039, 21106, 21114, 21306, 21314, 21381, 21389, 21431, 21439, 28594, 28595, 28609, 28644, 28645, 28659, 28719, 28720, 28734, 28919, 28920, 28934, 28994, 28995, 29009, 29044, 29045, 29059, 30499, 30501, 30549, 30551, 30624, 30626, 30824, 30826, 30899, 30901, 30949, 30951, 34326, 34331, 34376, 34381, 34451, 34456, 34651, 34656, 34726, 34731, 34776, 34781, 40026, 40029, 40076, 40079, 40151, 40154, 40351, 40354, 40426, 40429, 40476, 40479, 43841, 43891, 43966, 44166, 44241, 44291

Commentary

Base-slide of witness 2004 (N=47425): write x = q*1897 + e with small signed offsets e (25 blocks) and re-map to x = q*1906 + e mod 47650.

last edited by David Renshaw at 2026-08-17 17:49:12 UTC · history

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