Ruzsa’s genus-one problem

witness #1825

N
17,000
|A|
100
exponent log |A| / log N
0.4728
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:56:39 UTC

Elements (100)

238, 248, 255, 263, 273, 280, 363, 373, 380, 388, 398, 405, 919, 929, 944, 954, 1044, 1054, 1069, 1079, 2273, 2298, 2398, 2423, 4319, 4320, 4324, 4344, 4345, 4349, 4444, 4445, 4449, 4469, 4470, 4474, 5688, 5713, 5813, 5838, 7045, 7048, 7050, 7070, 7073, 7075, 7170, 7173, 7175, 7195, 7198, 7200, 9093, 9118, 9218, 9243, 10445, 10455, 10470, 10480, 10570, 10580, 10595, 10605, 11129, 11130, 11135, 11154, 11155, 11160, 11254, 11255, 11260, 11279, 11280, 11285, 12488, 12513, 12613, 12638, 13838, 13843, 13863, 13868, 13963, 13968, 13988, 13993, 14515, 14525, 14540, 14550, 14640, 14650, 14665, 14675, 15898, 15923, 16023, 16048

Commentary

Long-range continuation of the 25-copy single-core block code to N=17000. Final witness is 25 translates of 25*{0,1,5,6}, size 100; obtained by repeated whole-block continuation from the 18125-derived family.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:56:40 UTC · history

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