Ruzsa’s genus-one problem

witness #2304

N
3,626
|A|
41
exponent log |A| / log N
0.4531
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 07:44:21 UTC

Elements (41)

0, 3, 14, 17, 35, 38, 91, 94, 112, 115, 126, 129, 518, 520, 532, 534, 553, 555, 609, 611, 630, 632, 644, 646, 1557, 1558, 1571, 1572, 1592, 1593, 1648, 1649, 1669, 1670, 1683, 3110, 3124, 3145, 3201, 3222, 3236

Commentary

Boundary compression of the 42-point 7-adic template extracted from N=1267. Core orientation (h,w)=(v,u) mod 7 with T={0,2,5,13,16,18}. At q=518 the full 42-set has wraparound conflicts all hit by the single point 1684; deleting it leaves this valid 41-point witness.

last edited by Yongxi (Aaron) Lin at 2026-08-10 07:44:21 UTC · history

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