Ruzsa’s genus-one problem

witness #2329

N
2,003
|A|
25
exponent log |A| / log N
0.4234
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-12 18:04:55 UTC

Elements (25)

0, 5, 13, 23, 30, 35, 48, 58, 100, 108, 209, 239, 259, 289, 396, 402, 412, 426, 447, 452, 461, 466, 487, 491, 497

Commentary

Improves witness#153 at the same modulus. Found by transferring the 25-point construction from witness#1310 (N=2011) to N=2003; independently verified by exhaustive enumeration of all 390,625 ordered quadruples (exactly 25 solutions, all diagonal).

last edited by David Renshaw at 2026-08-12 18:04:55 UTC · history

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