Ruzsa’s genus-one problem

witness #1655

N
6,181
|A|
56
exponent log |A| / log N
0.4611
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 02:30:45 UTC

Elements (56)

0, 2, 7, 9, 35, 37, 42, 44, 175, 177, 182, 184, 210, 212, 217, 219, 882, 889, 917, 924, 1057, 1064, 1092, 1099, 3530, 3534, 3537, 3541, 3565, 3569, 3572, 3576, 3705, 3709, 3712, 3716, 3740, 3744, 3747, 3751, 5297, 5298, 5304, 5305, 5332, 5333, 5339, 5340, 5472, 5473, 5479, 5480, 5507, 5508, 5514, 5515

Commentary

7×8 higher-level extension of the N=301 branch. In CRT Z/6181 ≅ Z/7 × Z/883, use row residues (0,2,0,2,6,5,6), base second coordinates (0,2,-1,-2,2,-1,0), and common 8-point fiber {0,7}+{0,35}+{0,175}. This is the first q for this fixed 301-derived skeleton when scanning the third binary direction.

last edited by Yongxi (Aaron) Lin at 2026-08-08 02:30:46 UTC · history

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