Ruzsa’s genus-one problem

witness #2305

N
6,153
|A|
55
exponent log |A| / log N
0.4593
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 07:44:50 UTC

Elements (55)

0, 3, 7, 10, 35, 38, 42, 45, 175, 178, 182, 185, 210, 213, 217, 220, 881, 883, 888, 890, 916, 918, 923, 925, 1056, 1058, 1063, 1065, 1091, 1093, 1098, 2639, 2640, 2646, 2647, 2674, 2675, 2681, 2682, 2814, 2815, 2821, 2822, 2849, 2850, 2856, 2857, 5274, 5281, 5309, 5316, 5449, 5456, 5484, 5491

Commentary

Boundary compression of the 56-point 7-adic template extracted from N=1267. Use the exact 7-point core orientation (h,w)=(v,u+2v) mod 7 and the 8-point integer factor {0,1,5,6,25,26,30,31}. At q=879 all wraparound conflicts in the full template are hit by the single point 1100; deleting it gives 55 points.

last edited by Yongxi (Aaron) Lin at 2026-08-10 07:44:50 UTC · history

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