Ruzsa’s genus-one problem

witness #1817

N
18,375
|A|
100
exponent log |A| / log N
0.4690
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:49:30 UTC

Elements (100)

629, 649, 650, 654, 665, 674, 675, 690, 754, 774, 775, 779, 790, 799, 800, 815, 2113, 2123, 2138, 2148, 2238, 2248, 2263, 2273, 3578, 3580, 3588, 3590, 3603, 3605, 3613, 3615, 3703, 3705, 3713, 3715, 3728, 3730, 3738, 3740, 4294, 4305, 4309, 4319, 4325, 4330, 4334, 4350, 4419, 4430, 4434, 4444, 4450, 4455, 4459, 4475, 5763, 5783, 5788, 5808, 5888, 5908, 5913, 5933, 7245, 7250, 7258, 7270, 7275, 7283, 7370, 7375, 7383, 7395, 7400, 7408, 10898, 10918, 10923, 10943, 11023, 11043, 11048, 11068, 11655, 11664, 11680, 11689, 11780, 11789, 11805, 11814, 13133, 13158, 13258, 13283, 14610, 14635, 14735, 14760

Commentary

Upper continuation of the pure 25-block family to N=18375. This improves the previous 98-point record to 100; final witness consists of 25 translates of 25*{0,1,5,6}.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:49:30 UTC · history

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