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The number of nonhypotenuse numbers not exceeding a value x scales asymptotically with x/√log x.

Landau–Ramanujan constant article says:

the number of positive integers below x that are the sum of two square numbers varies as

${\displaystyle {\dfrac {x}{\sqrt {\ln(x)}}}.}$

So we have 2 opposite statements Jumpow ( talk) 18:31, 29 May 2018 (UTC) reply

Two different classes of numbers. The ones counted in Landau–Ramanujan constant are the ones that are sums of two squares. The ones in this article are those whose square is not a sum of two positive squares. So here we square before attempting to decompose into a sum, there we do not. — David Eppstein ( talk) 20:19, 29 May 2018 (UTC) reply

Three negatives

I'm pretty sure that the quoted sentence says the opposite of what it should say. Either way, I think that the 3 negatives in this sentence (cannot, never, nonhypotenuse) make it difficult to comprehend:

Equivalently, any number that cannot be put into the form ${\displaystyle {K(m^{2}+n^{2})}}$ where K, m, and n are all positive integers, is never a nonhypotenuse number.

-- 2605:6000:E504:9400:D09A:E374:59D7:DA1D ( talk) 21:23, 21 February 2020 (UTC) reply

I rewrote it to be a little less convoluted. — David Eppstein ( talk) 21:43, 21 February 2020 (UTC) reply