Ruzsa’s genus-one problem

witness #1945

N
6,139
|A|
54
exponent log |A| / log N
0.4573
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 05:33:14 UTC

Elements (54)

0, 2, 7, 9, 35, 37, 42, 44, 175, 177, 182, 184, 210, 212, 217, 875, 879, 882, 886, 910, 914, 917, 921, 1050, 1054, 1057, 1061, 1085, 1089, 1092, 1753, 1760, 1788, 1795, 1928, 1935, 1963, 1970, 4384, 4385, 4391, 4392, 4419, 4420, 4426, 4427, 4559, 4560, 4566, 4567, 4594, 4595, 4601, 4602

Commentary

Boundary compression of the 56-point 7q microcube/macro-skeleton template at q=877; deleting a minimum 2-point hitting set for the wraparound defects leaves this valid 54-set.

last edited by Yongxi (Aaron) Lin at 2026-08-09 05:33:14 UTC · history

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