Ruzsa’s genus-one problem

witness #1713

N
18,875
|A|
100
exponent log |A| / log N
0.4677
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:11:16 UTC

Elements (100)

0, 1, 25, 26, 95, 96, 120, 121, 125, 126, 150, 151, 1495, 1496, 1620, 1621, 3745, 3746, 3795, 3796, 3870, 3871, 3920, 3921, 5260, 5261, 5285, 5286, 5320, 5321, 5385, 5386, 5410, 5411, 5445, 5446, 8275, 8276, 8300, 8301, 8400, 8401, 8425, 8426, 9035, 9036, 9085, 9086, 9095, 9096, 9160, 9161, 9210, 9211, 9220, 9221, 11300, 11301, 11345, 11346, 11350, 11351, 11425, 11426, 11470, 11471, 11475, 11476, 12100, 12101, 12225, 12226, 12820, 12821, 12945, 12946, 15075, 15076, 15200, 15201, 15825, 15826, 15875, 15876, 15950, 15951, 16000, 16001, 16620, 16621, 16635, 16636, 16745, 16746, 16760, 16761, 18845, 18846, 18870, 18871

Commentary

Sum-set lift C=A_5+5A_3775, using the high-density 50-element record at N=3775. Thus C={5b,5b+1:b in A_3775}.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:11:17 UTC · history

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