Ruzsa’s genus-one problem

witness #2243

N
3,135
|A|
32
exponent log |A| / log N
0.4305
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 21:49:20 UTC

Elements (32)

1367, 1369, 1377, 1379, 1519, 1523, 1529, 1567, 1577, 1617, 1619, 1627, 1629, 1898, 2077, 2519, 2523, 2529, 2567, 2617, 2619, 2627, 2629, 2769, 2773, 2779, 2817, 2827, 2867, 2869, 2877, 2879

Commentary

Tail/arc transfer from the N=3037 size-32 upper-arc witness. Preserving the concentrated large-residue pattern while varying the modulus shows the same 32-element set remains solution-free at N=3135.

last edited by Yongxi (Aaron) Lin at 2026-08-09 21:49:20 UTC · history

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