Ruzsa’s genus-one problem

witness #2326

N
2,029
|A|
25
exponent log |A| / log N
0.4227
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-10 21:10:31 UTC

Elements (25)

555, 565, 579, 589, 600, 605, 624, 629, 640, 664, 674, 964, 972, 974, 982, 1009, 1014, 1017, 1022, 1057, 1059, 1067, 1742, 1877, 2011

Commentary

Improves witness 244 from 24 to 25 points. Found by transferring a neighboring N=2015 basin into N=2029, extracting a valid 24-subset, then native breakout regrowth; independently verified by exhaustive ordered-quadruple enumeration.

last edited by David Renshaw at 2026-08-10 21:10:31 UTC · history

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