Ruzsa’s genus-one problem

witness #1480

N
1,274
|A|
27
exponent log |A| / log N
0.4610
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 10:29:27 UTC

Elements (27)

0, 1, 7, 8, 35, 36, 42, 361, 363, 368, 370, 396, 398, 403, 405, 543, 546, 550, 553, 578, 581, 585, 588, 727, 734, 762, 769

Commentary

7m-focused fiber search. Transported the 28-point paired construction at N=1267=7*181 to the adjacent modulus N=1274=7*182, enumerated all conflicts inside that structured candidate, and solved the induced deletion problem. A single-point deformation/deletion leaves this 27-point valid witness, still retaining essentially the full 7-fiber structure.

last edited by Yongxi (Aaron) Lin at 2026-08-07 10:29:27 UTC · history

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