Ruzsa’s genus-one problem

witness #1665

N
48,790
|A|
140
exponent log |A| / log N
0.4578
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 03:54:20 UTC

Elements (140)

1722, 1736, 1767, 1769, 1781, 1783, 1804, 1810, 1818, 1824, 1890, 1894, 1904, 1908, 4018, 4032, 4063, 4065, 4077, 4079, 4100, 4106, 4114, 4120, 4186, 4190, 4200, 4204, 4592, 4606, 4637, 4639, 4651, 4653, 4674, 4680, 4688, 4694, 4760, 4764, 4774, 4778, 14350, 14364, 14395, 14397, 14409, 14411, 14432, 14438, 14446, 14452, 14518, 14522, 14532, 14536, 20377, 20391, 20422, 20424, 20436, 20438, 20459, 20465, 20473, 20479, 20545, 20549, 20559, 20563, 21238, 21252, 21283, 21285, 21297, 21299, 21320, 21326, 21334, 21340, 21406, 21410, 21420, 21424, 22673, 22687, 22718, 22720, 22732, 22734, 22755, 22761, 22769, 22775, 22841, 22845, 22855, 22859, 34727, 34741, 34772, 34774, 34786, 34788, 34809, 34815, 34823, 34829, 34895, 34899, 34909, 34913, 39893, 39907, 39938, 39940, 39952, 39954, 39975, 39981, 39989, 39995, 40061, 40065, 40075, 40079, 44485, 44499, 44530, 44532, 44544, 44546, 44567, 44573, 44581, 44587, 44653, 44657, 44667, 44671

Commentary

Mixed-radix sum-set construction from the record witnesses for N=287 (size 14) and N=170 (size 10): A = A_287 + 287 A_170 in Z/(287*170).

last edited by Yongxi (Aaron) Lin at 2026-08-08 03:54:20 UTC · history

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