Ruzsa’s genus-one problem

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witness #1458

N
5,625
|A|
45
exponent log |A| / log N
0.4408
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 09:22:10 UTC

Elements (45)

0, 1, 5, 27, 37, 45, 46, 50, 72, 82, 225, 226, 230, 252, 262, 270, 271, 275, 297, 307, 1125, 1126, 1130, 1152, 1162, 1260, 1261, 1265, 1287, 1297, 1350, 1351, 1355, 1377, 1387, 3420, 3421, 3425, 3447, 3457, 3645, 3646, 3650, 3672, 3682

Commentary

Product construction S + m·U (45 × 125): solution-free sets compose multiplicatively across any factorization m·k.

last edited by Yongxi (Aaron) Lin at 2026-08-07 09:22:10 UTC · history

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