Ruzsa’s genus-one problem

witness #2275

N
2,885
|A|
32
exponent log |A| / log N
0.4350
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 03:37:19 UTC

Elements (32)

1222, 1252, 1760, 1772, 1820, 1835, 1870, 1876, 1885, 1891, 1945, 1951, 1960, 1966, 2117, 2147, 2192, 2325, 2337, 2340, 2352, 2400, 2412, 2415, 2427, 2450, 2471, 2495, 2501, 2525, 2712, 2727

Commentary

Tail/arc compression + regrowth. The 31-element 2N/5-tail core transferred from N=2825 to N=2885; sweeping the permitted upper region then found a direct legal insertion at 1252. Final size 32, with every element still > 2N/5 (1154). Server-verified before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-10 03:37:19 UTC · history

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