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, , if and only if it is NOT of the form for non-negative integers and . Which of the following numbers CANNOT be represented as the sum of three squares? (Select all that apply)
According to Legendre's three-square theorem, a positive integer can be written as the sum of three integer squares, , if and only if it is NOT of the form for non-negative integers and . Which of the following numbers CANNOT be represented as the sum of three squares? (Select all that apply)