Ruzsa’s genus-one problem

witness #1681

N
37,310
|A|
126
exponent log |A| / log N
0.4594
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:05:43 UTC

Elements (126)

0, 1, 5, 6, 26, 29, 31, 79, 84, 1820, 1821, 1825, 1826, 1846, 1849, 1851, 1899, 1904, 5850, 5851, 5855, 5856, 5876, 5879, 5881, 5929, 5934, 6110, 6111, 6115, 6116, 6136, 6139, 6141, 6189, 6194, 7670, 7671, 7675, 7676, 7696, 7699, 7701, 7749, 7754, 7930, 7931, 7935, 7936, 7956, 7959, 7961, 8009, 8014, 10660, 10661, 10665, 10666, 10686, 10689, 10691, 10739, 10744, 11440, 11441, 11445, 11446, 11466, 11469, 11471, 11519, 11524, 12480, 12481, 12485, 12486, 12506, 12509, 12511, 12559, 12564, 13260, 13261, 13265, 13266, 13286, 13289, 13291, 13339, 13344, 21840, 21841, 21845, 21846, 21866, 21869, 21871, 21919, 21924, 22360, 22361, 22365, 22366, 22386, 22389, 22391, 22439, 22444, 23660, 23661, 23665, 23666, 23686, 23689, 23691, 23739, 23744, 24180, 24181, 24185, 24186, 24206, 24209, 24211, 24259, 24264

Commentary

Ordered sum-set/product construction C=A_130+130*A_287, using the current 9-point witness for 130 and the 14-point record witness for 287.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:05:43 UTC · history

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