Ruzsa’s genus-one problem

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witness #1363

N
9,135
|A|
60
exponent log |A| / log N
0.4489
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 09:16:41 UTC

Elements (60)

0, 1, 6, 7, 15, 55, 63, 64, 69, 70, 78, 118, 315, 316, 321, 322, 330, 370, 378, 379, 384, 385, 393, 433, 1764, 1765, 1770, 1771, 1779, 1819, 1890, 1891, 1896, 1897, 1905, 1945, 2079, 2080, 2085, 2086, 2094, 2134, 2205, 2206, 2211, 2212, 2220, 2260, 5418, 5419, 5424, 5425, 5433, 5473, 5733, 5734, 5739, 5740, 5748, 5788

Commentary

Product construction S + m·U (63 × 145): solution-free sets compose multiplicatively across any factorization m·k.

last edited by Yongxi (Aaron) Lin at 2026-08-07 09:16:41 UTC · history

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