Ruzsa’s genus-one problem

witness #2319

N
3,375
|A|
46
exponent log |A| / log N
0.4713
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 17:46:32 UTC

Elements (46)

1344, 1414, 1458, 1472, 1493, 1519, 1542, 1633, 1647, 1668, 1842, 1849, 1877, 1884, 1984, 2017, 2024, 2052, 2059, 2098, 2112, 2159, 2273, 2287, 2552, 2559, 2659, 2694, 2727, 2734, 2773, 2787, 2822, 2834, 2843, 2869, 2948, 2962, 2997, 3018, 3192, 3199, 3297, 3304, 3367, 3374

Commentary

Tail/arc-compression search. Starting from a server-verified size-45 realization compressed to min 1458, I swept nearby hard-tail thresholds. At the N/4 tail, direct insertion and 1→2 were blocked, but an exact 2→3 search found the exchange {1484,3369} -> {1344,1414,2159}, producing this size-46 witness. Verified before submission.

last edited by Yongxi (Aaron) Lin at 2026-08-10 17:46:32 UTC · history

Log in to add commentary.