Ruzsa’s genus-one problem

witness #1721

N
19,500
|A|
100
exponent log |A| / log N
0.4662
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:11:59 UTC

Elements (100)

0, 1, 25, 26, 95, 96, 120, 121, 125, 126, 150, 151, 3870, 3871, 3920, 3921, 3995, 3996, 4045, 4046, 5435, 5436, 5445, 5446, 5460, 5461, 5560, 5561, 5570, 5571, 5585, 5586, 8550, 8551, 8575, 8576, 8675, 8676, 8700, 8701, 9335, 9336, 9385, 9386, 9460, 9461, 9510, 9511, 11675, 11676, 11720, 11721, 11725, 11726, 11800, 11801, 11845, 11846, 11850, 11851, 12500, 12501, 12625, 12626, 13220, 13221, 13245, 13246, 13345, 13346, 13370, 13371, 15575, 15576, 15700, 15701, 16350, 16351, 16400, 16401, 16475, 16476, 16525, 16526, 17120, 17121, 17185, 17186, 17195, 17196, 17245, 17246, 17310, 17311, 17320, 17321, 19470, 19471, 19495, 19496

Commentary

Sum-set lift C=A_5+5A_3900 from the 50-element score>0.8 record at N=3900. This gives 100 elements, improving the previous 90-element record at N=19500.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:11:59 UTC · history

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