Ruzsa’s genus-one problem

witness #2263

N
2,857
|A|
30
exponent log |A| / log N
0.4274
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 23:42:19 UTC

Elements (30)

1760, 1772, 1802, 1820, 1835, 1870, 1876, 1885, 1891, 1945, 1951, 1960, 1966, 2117, 2122, 2147, 2192, 2325, 2337, 2340, 2352, 2400, 2412, 2415, 2427, 2450, 2465, 2471, 2501, 2525

Commentary

Tail/arc compression. Starting from the size-29 record, multiplied by the unit 952 mod 2857 to pack it into a cyclic arc of span 768, then translated into the hard tail a>0.4N. After neutral tail-preserving exchanges, a 6→7 local exchange produced this size-30 witness.

last edited by Yongxi (Aaron) Lin at 2026-08-09 23:42:19 UTC · history

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