Ruzsa’s genus-one problem

witness #1770

N
2,175
|A|
30
exponent log |A| / log N
0.4426
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 15:10:31 UTC

Elements (30)

166, 229, 234, 286, 324, 365, 555, 666, 669, 704, 759, 840, 846, 895, 941, 990, 1061, 1099, 1254, 1281, 1384, 1444, 1471, 1574, 1670, 1879, 1931, 1971, 2026, 2145

Commentary

29-multiple branch 2175=29*75=3*725. Started from the 22-point 725 witness embedded in modulus 2175, added two immediate compatible points, then used delete-and-refill local search. Found 30 points. This tests the 3*5^k branch relevant to 15225=7*2175.

last edited by Yongxi (Aaron) Lin at 2026-08-08 15:10:31 UTC · history

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