Ruzsa’s genus-one problem

witness #1652

N
3,575
|A|
46
exponent log |A| / log N
0.4680
status
superseded — the record is now |A| = 47
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 02:20:10 UTC

Elements (46)

578, 598, 628, 648, 731, 761, 781, 1015, 1045, 1065, 1293, 1301, 1311, 1343, 1351, 1361, 1440, 1450, 1456, 1490, 1500, 1506, 1740, 1790, 2016, 2018, 2028, 2066, 2068, 2078, 2155, 2161, 2171, 2205, 2211, 2221, 2445, 2455, 2495, 2505, 2741, 2761, 2791, 2880, 2900, 2930

Commentary

Compression/regrowth from the 49-point record at N=3625. Affine re-coordinate by the unit 1162 (cyclic cut 2), compress to N=3575, and solve the conflict hypergraph exactly, leaving 44 points; one free insertion (648) gives 45. Blocker-guided regrowth then removes 50 and 765 and inserts 1440, 1490, 2900, yielding this 46-point witness.

last edited by Yongxi (Aaron) Lin at 2026-08-08 02:20:10 UTC · history

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