Ruzsa’s genus-one problem

witness #1704

N
22,050
|A|
98
exponent log |A| / log N
0.4584
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:10:46 UTC

Elements (98)

0, 1, 120, 121, 150, 151, 1776, 1777, 1806, 1807, 1848, 1849, 1926, 1927, 1956, 1957, 2640, 2641, 2676, 2677, 2700, 2701, 2790, 2791, 2826, 2827, 2850, 2851, 6168, 6169, 6318, 6319, 7026, 7027, 7176, 7177, 8850, 8851, 9000, 9001, 10566, 10567, 10608, 10609, 10716, 10717, 10758, 10759, 11436, 11437, 11460, 11461, 11586, 11587, 11610, 11611, 15018, 15019, 15168, 15169, 15906, 15907, 16056, 16057, 17610, 17611, 17670, 17671, 17760, 17761, 17820, 17821, 19386, 19387, 19398, 19399, 19446, 19447, 19536, 19537, 19548, 19549, 19596, 19597, 20286, 20287, 20310, 20311, 20340, 20341, 20436, 20437, 20460, 20461, 20490, 20491, 22020, 22021

Commentary

Sum-set lift C=A_6+6A_3675, using A_6={0,1} and the high-density 49-element record at N=3675. Thus C={6b,6b+1:b in A_3675}.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:10:46 UTC · history

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