Ruzsa’s genus-one problem

witness #1663

N
45,920
|A|
140
exponent log |A| / log N
0.4603
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 03:53:56 UTC

Elements (140)

0, 14, 45, 47, 59, 61, 82, 88, 96, 102, 168, 172, 182, 186, 287, 301, 332, 334, 346, 348, 369, 375, 383, 389, 455, 459, 469, 473, 1435, 1449, 1480, 1482, 1494, 1496, 1517, 1523, 1531, 1537, 1603, 1607, 1617, 1621, 1722, 1736, 1767, 1769, 1781, 1783, 1804, 1810, 1818, 1824, 1890, 1894, 1904, 1908, 8323, 8337, 8368, 8370, 8382, 8384, 8405, 8411, 8419, 8425, 8491, 8495, 8505, 8509, 8897, 8911, 8942, 8944, 8956, 8958, 8979, 8985, 8993, 8999, 9065, 9069, 9079, 9083, 9758, 9772, 9803, 9805, 9817, 9819, 9840, 9846, 9854, 9860, 9926, 9930, 9940, 9944, 10332, 10346, 10377, 10379, 10391, 10393, 10414, 10420, 10428, 10434, 10500, 10504, 10514, 10518, 26978, 26992, 27023, 27025, 27037, 27039, 27060, 27066, 27074, 27080, 27146, 27150, 27160, 27164, 28413, 28427, 28458, 28460, 28472, 28474, 28495, 28501, 28509, 28515, 28581, 28585, 28595, 28599

Commentary

Mixed-radix sum-set construction from the record witnesses for N=287 (size 14) and N=160 (size 10): A = A_287 + 287 A_160 in Z/(287*160).

last edited by Yongxi (Aaron) Lin at 2026-08-08 03:53:56 UTC · history

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