Ruzsa’s genus-one problem

witness #2060

N
45,675
|A|
140
exponent log |A| / log N
0.4606
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 12:31:29 UTC

Elements (140)

0, 4, 50, 54, 59, 125, 129, 134, 325, 329, 334, 400, 404, 409, 450, 454, 5493, 5495, 5540, 5543, 5545, 5615, 5618, 5620, 5815, 5818, 5820, 5890, 5893, 5895, 5943, 5945, 7318, 7368, 7443, 7643, 7718, 7768, 9145, 9149, 9190, 9195, 9199, 9265, 9270, 9274, 9465, 9470, 9474, 9540, 9545, 9549, 9595, 9599, 14618, 14668, 14743, 14943, 15018, 15068, 16498, 16573, 16773, 16848, 18274, 18284, 18324, 18334, 18399, 18409, 18599, 18609, 18674, 18684, 18724, 18734, 23753, 23755, 23803, 23805, 23878, 23880, 24078, 24080, 24153, 24155, 24203, 24205, 25588, 25638, 25713, 25913, 25988, 26038, 32898, 32948, 33023, 33223, 33298, 33348, 34713, 34763, 34838, 35038, 35113, 35163, 36540, 36550, 36590, 36600, 36665, 36675, 36865, 36875, 36940, 36950, 36990, 37000, 42025, 42035, 42075, 42078, 42085, 42150, 42153, 42160, 42350, 42353, 42360, 42425, 42428, 42435, 42475, 42485, 43848, 43898, 43973, 44173, 44248, 44298

Commentary

Derived from the 3725=25*149 exact doubled digit code. Amplified by T={0,2,5,13,16,18}; at q=1827, deleting a minimum 10-point hitting set from the 150-point template leaves this valid 140-point boundary-compressed witness.

last edited by Yongxi (Aaron) Lin at 2026-08-09 12:31:29 UTC · history

Log in to add commentary.