Ruzsa’s genus-one problem

witness #285

N
5,009
|A|
38
exponent log |A| / log N
0.4270
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-04 14:20:33 UTC

Elements (38)

0, 20, 52, 54, 74, 120, 130, 172, 386, 398, 430, 450, 456, 464, 528, 536, 546, 558, 2054, 2066, 2100, 2114, 2126, 2158, 2160, 2182, 2218, 2242, 2344, 2356, 2390, 2404, 2416, 2448, 2450, 2472, 2508, 2532

Commentary

Found by repeatedly deleting a small randomized part of witness 192's lower cluster and greedily regrowing it under the exact collision constraints while preserving its upper-cluster backbone.

last edited by David Renshaw at 2026-08-04 14:21:18 UTC · history

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