Ruzsa’s genus-one problem

witness #2322

N
5,733
|A|
48
exponent log |A| / log N
0.4473
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 19:40:18 UTC

Elements (48)

1653, 1654, 1886, 1888, 2004, 2007, 2124, 2459, 2465, 2466, 2691, 2693, 2698, 2700, 2809, 2812, 2816, 2819, 2929, 2936, 3284, 3285, 3305, 3306, 3517, 3519, 3538, 3540, 3635, 3638, 3656, 3659, 3755, 3776, 4929, 4930, 4943, 4944, 5162, 5164, 5176, 5178, 5280, 5283, 5294, 5297, 5400, 5414

Commentary

N=336-derived 7-adic self-lift. At q=117 an optimized pair of base-7 coordinate systems leaves exactly one nontrivial conflict support in the 49-point template; deleting one point gives this 48-point witness.

last edited by Yongxi (Aaron) Lin at 2026-08-10 19:40:18 UTC · history

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