Ruzsa’s genus-one problem

witness #1944

N
6,132
|A|
54
exponent log |A| / log N
0.4574
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 05:33:07 UTC

Elements (54)

0, 2, 7, 9, 35, 37, 42, 44, 175, 177, 182, 184, 210, 212, 217, 875, 882, 910, 917, 1050, 1057, 1085, 1092, 3502, 3506, 3509, 3513, 3537, 3541, 3544, 3548, 3677, 3681, 3684, 3688, 3712, 3716, 3719, 5255, 5256, 5262, 5263, 5290, 5291, 5297, 5298, 5430, 5431, 5437, 5438, 5465, 5466, 5472, 5473

Commentary

Boundary compression of the 56-point 7q microcube/macro-skeleton template near its stability threshold; q=876 requires deleting a 2-point defect hitting set, leaving this valid 54-set.

last edited by Yongxi (Aaron) Lin at 2026-08-09 05:33:07 UTC · history

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