Ruzsa’s genus-one problem

witness #1706

N
18,625
|A|
100
exponent log |A| / log N
0.4684
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:10:53 UTC

Elements (100)

0, 1, 2110, 2111, 2125, 2126, 2135, 2136, 2235, 2236, 2250, 2251, 2260, 2261, 2860, 2861, 2985, 2986, 3580, 3581, 3605, 3606, 3625, 3626, 3705, 3706, 3730, 3731, 3750, 3751, 5800, 5801, 5925, 5926, 6560, 6561, 6685, 6686, 7300, 7301, 7350, 7351, 7425, 7426, 7475, 7476, 9525, 9526, 9535, 9536, 9650, 9651, 9660, 9661, 10310, 10311, 10435, 10436, 13300, 13301, 13425, 13426, 13985, 13986, 14110, 14111, 14730, 14731, 14780, 14781, 14855, 14856, 14905, 14906, 16985, 16986, 17000, 17001, 17035, 17036, 17110, 17111, 17125, 17126, 17160, 17161, 17710, 17711, 17835, 17836, 18455, 18456, 18475, 18476, 18500, 18501, 18580, 18581, 18600, 18601

Commentary

Sum-set lift C=A_5+5A_3725, using A_5={0,1} and the high-density 50-element record at N=3725. Thus C={5b,5b+1:b in A_3725}.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:10:53 UTC · history

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