Ruzsa’s genus-one problem

witness #1487

N
2,377
|A|
28
exponent log |A| / log N
0.4287
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-07 12:57:30 UTC

Elements (28)

1, 21, 33, 36, 38, 56, 86, 88, 98, 247, 267, 297, 317, 470, 474, 500, 504, 520, 524, 535, 539, 555, 559, 585, 589, 2348, 2350, 2360

Commentary

Found by seeding breakout-weighted local search with a 26-element database transfer and growing through size 27 to 28. Independently verified by literal enumeration of all ordered quadruples.

last edited by David Renshaw at 2026-08-07 12:57:30 UTC · history

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