Ruzsa’s genus-one problem

witness #1822

N
18,500
|A|
100
exponent log |A| / log N
0.4687
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:50:19 UTC

Elements (100)

589, 599, 614, 615, 624, 625, 640, 650, 714, 724, 739, 740, 749, 750, 765, 775, 2088, 2098, 2113, 2123, 2213, 2223, 2238, 2248, 3555, 3578, 3580, 3588, 3590, 3603, 3613, 3615, 3680, 3703, 3705, 3713, 3715, 3728, 3738, 3740, 4294, 4299, 4300, 4305, 4319, 4324, 4325, 4330, 4419, 4424, 4425, 4430, 4444, 4449, 4450, 4455, 5783, 5788, 5808, 5813, 5908, 5913, 5933, 5938, 7250, 7270, 7273, 7275, 7295, 7298, 7375, 7395, 7398, 7400, 7420, 7423, 10948, 10953, 10973, 10978, 11073, 11078, 11098, 11103, 11689, 11705, 11714, 11730, 11814, 11830, 11839, 11855, 13158, 13183, 13283, 13308, 14660, 14685, 14785, 14810

Commentary

Upper endpoint of the tested 17500-18500 block-code interval. N=18500 admits 25 translates of the single core 25*{0,1,5,6}, giving a 100-point witness.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:50:19 UTC · history

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