Is it a known equation for natural numbers? If $ x$ divides $ n$ , then $ m$ exists so that the following equation is true.
$ $ ( n^2/x^2 + 1 )(n^2 – 2n^2/x + n^2/x^2 + (x – 1)^2) = m^2 $ $
Accordingly, if there is no such $ x$ between 2 and $ n/2$ , $ n$ is prime.
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