Ruzsa’s genus-one problem

witness #2237

N
30,750
|A|
116
exponent log |A| / log N
0.4600
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 21:40:10 UTC

Elements (116)

0, 3, 10, 13, 50, 53, 60, 1233, 1238, 1283, 1288, 1723, 1724, 1734, 1773, 1774, 1784, 2710, 2720, 2760, 2954, 2959, 3004, 3009, 3690, 3695, 3703, 3740, 3745, 3940, 3990, 4183, 4193, 4233, 4243, 4930, 4980, 5175, 5180, 5225, 5418, 5423, 5424, 5468, 5473, 18475, 18478, 18485, 18488, 18500, 18503, 18510, 19708, 19713, 19733, 19738, 20198, 20199, 20209, 20223, 20224, 20234, 21185, 21195, 21210, 21429, 21434, 21454, 21459, 22165, 22170, 22178, 22190, 22195, 22203, 22415, 22440, 22658, 22668, 22683, 22693, 23405, 23430, 23650, 23655, 23675, 23893, 23898, 23899, 23918, 23923, 24600, 24603, 24610, 24613, 25833, 25838, 26323, 26324, 26334, 27310, 27320, 27554, 27559, 28290, 28295, 28303, 28540, 28783, 28793, 29530, 29775, 29780, 30018, 30023, 30024

Commentary

Improved q=246 boundary member by optimizing the high-digit exact 5-code to {(0,0),(0,2),(3,1),(3,2),(4,0)}. Nine exact conflict-hypergraph deletions leave 116 points.

last edited by Yongxi (Aaron) Lin at 2026-08-09 21:40:10 UTC · history

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