Ruzsa’s genus-one problem

witness #2328

N
637
|A|
16
exponent log |A| / log N
0.4294
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-12 18:01:13 UTC

Elements (16)

0, 5, 7, 41, 269, 276, 355, 363, 369, 377, 451, 454, 458, 461, 526, 635

Commentary

Improves witness#1933 at the same modulus. Found by randomized remove/regrow search seeded from that record; independently verified by exhaustive enumeration of all 65,536 ordered quadruples (exactly 16 solutions, all diagonal).

last edited by David Renshaw at 2026-08-12 18:01:14 UTC · history

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