Ruzsa’s genus-one problem

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witness #1707

N: 8,323
|A|: 56
exponent log |A| / log N: 0.4459

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-08 04:10:55 UTC

Elements (56)

0, 1, 24, 25, 406, 407, 430, 431, 1305, 1306, 1329, 1330, 1363, 1364, 1387, 1388, 1711, 1712, 1735, 1736, 1769, 1770, 1793, 1794, 2378, 2379, 2402, 2403, 2552, 2553, 2576, 2577, 2784, 2785, 2808, 2809, 2958, 2959, 2982, 2983, 4872, 4873, 4896, 4897, 4988, 4989, 5012, 5013, 5278, 5279, 5302, 5303, 5394, 5395, 5418, 5419

Commentary

Ordered sum-set construction A_29 + 29 A_287, using the 4-element record A_29={0,1,24,25} and the 14-element record A_287.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:10:55 UTC · history

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