: Matemáticas: Legendre's three-square theorem

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Legendre's three-square theorem

In mathematics, Legendre's three-square theorem states that a natural number can be represented as the sum of three squares of integers
${\\displaystyle n=x^{2}+y^{2}+z^{2}}$
if and only if $n$ is not of the form ${\\displaystyle n=4^{a}(8b+7)}$ for nonnegative integers $a$ and $b$ .
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Legendre%27s_three-square_theorem)

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