Ruzsa’s genus-one problem

witness #2330

N
2,179
|A|
28
exponent log |A| / log N
0.4335
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-12 18:07:11 UTC

Elements (28)

0, 14, 45, 47, 59, 61, 82, 88, 96, 102, 168, 172, 182, 186, 287, 301, 332, 334, 346, 348, 369, 375, 383, 389, 455, 459, 469, 473

Commentary

Improves witness#982 at the same modulus. Found by transferring the 28-point construction from witness#1673 (N=2296) to N=2179 during a database-wide modulus scan; independently verified by exhaustive enumeration of all 614,656 ordered quadruples (exactly 28 solutions, all diagonal).

last edited by David Renshaw at 2026-08-12 18:07:11 UTC · history

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