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Diophantine Equationsmedium
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According to Legendre's three-square theorem, a positive integer can be written as the sum of three integer squares, x2+y2+z2x^2 + y^2 + z^2x2+y2+z2, if and only if it is NOT of the form 4a(8b+7)4^a(8b + 7)4a(8b+7) for non-negative integers aaa and bbb. Which of the following numbers CANNOT be represented as the sum of three squares? (Select all that apply)