Diophantine Equationseasy
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By Legendre's three-square theorem, a positive integer can be written as x2+y2+z2x^2 + y^2 + z^2 (sum of three integer squares) if and only if it is NOT of the form 4a(8b+7)4^a(8b + 7). Which number CANNOT be expressed as a sum of three squares?