Ruzsa’s genus-one problem

witness #1993

N
18,800
|A|
100
exponent log |A| / log N
0.4679
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 10:33:09 UTC

Elements (100)

5, 11, 20, 30, 36, 120, 130, 136, 145, 155, 161, 758, 760, 783, 785, 883, 885, 908, 910, 2261, 2286, 2386, 2411, 3761, 3765, 3770, 3771, 3786, 3790, 3795, 3796, 3886, 3890, 3895, 3896, 3911, 3915, 3920, 3921, 4513, 4538, 4638, 4663, 6021, 6046, 6146, 6171, 8275, 8280, 8283, 8300, 8305, 8308, 8400, 8405, 8408, 8425, 8430, 8433, 9786, 9811, 9911, 9936, 11290, 11315, 11415, 11440, 12025, 12035, 12043, 12050, 12060, 12068, 12150, 12160, 12168, 12175, 12185, 12193, 13531, 13556, 13656, 13681, 15041, 15046, 15066, 15071, 15166, 15171, 15191, 15196, 15793, 15818, 15918, 15943, 17306, 17331, 17431, 17456, 18795

Commentary

100-point recursive completion/amplification of the N=3525=25*141 seed. Complete its three missing +25 partners to get a 25-point core times {0,25}, then amplify the vertical binary factor with T2={0,1,5,6}. Here q=752, in the stable q>=673 range.

last edited by Yongxi (Aaron) Lin at 2026-08-09 10:33:09 UTC · history

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