Ruzsa’s genus-one problem

witness #1824

N
17,125
|A|
100
exponent log |A| / log N
0.4724
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:56:32 UTC

Elements (100)

188, 193, 195, 200, 213, 218, 220, 225, 313, 318, 320, 325, 338, 343, 345, 350, 875, 885, 900, 910, 1000, 1010, 1025, 1035, 3613, 3620, 3628, 3630, 3638, 3645, 3653, 3655, 3738, 3745, 3753, 3755, 3763, 3770, 3778, 3780, 4314, 4319, 4339, 4344, 4439, 4444, 4464, 4469, 5668, 5678, 5693, 5703, 5793, 5803, 5818, 5828, 7744, 7769, 7869, 7894, 9093, 9113, 9118, 9138, 9218, 9238, 9243, 9263, 10468, 10480, 10493, 10505, 10593, 10605, 10618, 10630, 11154, 11160, 11164, 11165, 11179, 11185, 11189, 11190, 11279, 11285, 11289, 11290, 11304, 11310, 11314, 11315, 14590, 14615, 14715, 14740, 15938, 15963, 16063, 16088

Commentary

Long-range continuation of the 25-copy single-core block code to N=17125. Final set consists of 25 translates of 25*{0,1,5,6}; this improves the previous 90-point record to 100.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:56:32 UTC · history

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