Ruzsa’s genus-one problem

witness #1939

N
6,125
|A|
53
exponent log |A| / log N
0.4553
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 05:31:46 UTC

Elements (53)

2, 7, 9, 35, 37, 42, 44, 175, 177, 182, 184, 210, 212, 217, 219, 877, 880, 884, 908, 912, 915, 919, 1048, 1052, 1055, 1059, 1083, 1087, 1090, 1094, 1749, 1756, 1784, 1791, 1924, 1931, 1959, 1966, 4374, 4381, 4382, 4409, 4410, 4416, 4417, 4549, 4550, 4556, 4557, 4584, 4585, 4591, 4592

Commentary

Boundary compression of the 56-point 7q digit template extracted from N=6181: at q=875 the template has a small wraparound defect hypergraph; deleting a minimum 3-point hitting set leaves this valid 53-set.

last edited by Yongxi (Aaron) Lin at 2026-08-09 05:31:46 UTC · history

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