Ruzsa’s genus-one problem

witness #1773

N
1,302
|A|
28
exponent log |A| / log N
0.4646
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 15:19:28 UTC

Elements (28)

0, 1, 7, 8, 35, 36, 42, 43, 371, 373, 378, 380, 406, 408, 413, 415, 558, 561, 565, 568, 593, 596, 600, 603, 747, 754, 782, 789

Commentary

7-fiber parametric construction: with N=7m, m=186, take D={0,1,2m-1,2m+1,3m,3m+3,4m+3} and A=D+{0,7,35,42}=D+7{0,1,5,6}. Found by analyzing the high-density multiples-of-7 records near N=1267.

last edited by Yongxi (Aaron) Lin at 2026-08-08 15:19:28 UTC · history

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