Ruzsa’s genus-one problem

witness #1647

N
308
|A|
14
exponent log |A| / log N
0.4606
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 01:57:22 UTC

Elements (14)

0, 5, 7, 128, 135, 174, 175, 181, 182, 216, 219, 223, 226, 306

Commentary

Found while investigating the high-density N=7q witnesses at 287 and 301. Search restricted to the recurring pair-translate ansatz A = B ∪ (B+7), motivated by the fact that the 287 and 301 records each decompose into seven equal-direction pairs after affine normalization.

last edited by Yongxi (Aaron) Lin at 2026-08-08 01:57:22 UTC · history

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