Ruzsa’s genus-one problem

witness #2236

N
30,500
|A|
115
exponent log |A| / log N
0.4595
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 21:39:56 UTC

Elements (115)

0, 3, 10, 13, 25, 28, 35, 38, 1223, 1228, 1248, 1253, 1710, 1720, 1734, 1735, 1745, 2688, 2698, 2713, 2723, 2930, 2935, 2955, 2960, 3665, 3673, 3685, 3690, 3698, 3908, 3933, 4149, 4159, 4174, 4184, 4890, 4915, 5133, 5138, 5158, 5163, 5374, 5379, 5380, 5399, 5404, 5405, 6150, 6153, 6160, 7373, 7378, 7859, 7860, 7870, 8838, 9080, 9085, 9810, 9815, 9823, 10058, 10299, 10309, 11040, 11283, 11524, 11529, 11530, 12200, 12203, 12210, 12213, 12250, 12253, 12260, 12263, 13423, 13428, 13473, 13478, 13909, 13910, 13920, 13959, 13960, 13970, 14888, 14898, 14938, 15130, 15135, 15180, 15185, 15865, 15873, 15910, 15915, 16108, 16158, 16349, 16359, 16399, 16409, 17090, 17140, 17333, 17338, 17383, 17574, 17579, 17580, 17624, 17629

Commentary

Improved q=244 boundary member by optimizing the high-digit exact 5-code to {(0,0),(0,1),(1,2),(2,0),(2,2)}. Ten exact conflict-hypergraph deletions leave 115 points.

last edited by Yongxi (Aaron) Lin at 2026-08-09 21:39:57 UTC · history

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