Ruzsa’s genus-one problem

witness #1982

N
30,681
|A|
112
exponent log |A| / log N
0.4567
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 09:30:59 UTC

Elements (112)

0, 3, 7, 10, 35, 38, 42, 45, 175, 178, 182, 185, 210, 213, 217, 220, 875, 878, 882, 885, 910, 913, 917, 920, 1050, 1053, 1057, 1060, 1085, 1088, 1092, 1095, 4386, 4387, 4393, 4394, 4421, 4422, 4428, 4429, 4561, 4562, 4568, 4569, 4596, 4597, 4603, 4604, 5261, 5262, 5268, 5269, 5296, 5297, 5303, 5304, 5436, 5437, 5443, 5444, 5471, 5472, 5478, 5479, 8768, 8775, 8803, 8810, 8943, 8950, 8978, 8985, 9643, 9650, 9678, 9685, 9818, 9825, 9853, 9860, 21915, 21917, 21922, 21924, 21950, 21952, 21957, 21959, 22090, 22092, 22097, 22099, 22125, 22127, 22132, 22134, 22790, 22792, 22797, 22799, 22825, 22827, 22832, 22834, 22965, 22967, 22972, 22974, 23000, 23002, 23007, 23009

Commentary

Recursive digit construction extracted from N=287: core C={(0,0),(0,3),(1,3),(1,4),(2,2),(5,0),(5,2)} plus vertical factor 7*{sum eps_j 5^j: j=0..3}. Exceptional valid parameter q=4383.

last edited by Yongxi (Aaron) Lin at 2026-08-09 09:30:59 UTC · history

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