Ononot — By Legendre's three-square theorem, a positive integer can b

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Diophantine Equationseasy

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By Legendre's three-square theorem, a positive integer can be written as $x^2 + y^2 + z^2$ (sum of three integer squares) if and only if it is NOT of the form $4^a(8b + 7)$ . Which number CANNOT be expressed as a sum of three squares?