Hi everybody(adsbygoogle = window.adsbygoogle || []).push({});

I'm currently reading Burton's Elementary Number Theory (almost done!) and in the chapter about Lagrange's Theorem about the sum of four squares, there is a supposedly easy question which I can't solve for some reason . I'd really appreciate a hint or two...

Prove that at least one of any four consecutive natural numbers is not a sum of two squares [that is, can't be represented as the sum of two squares of whole numbers]

Thank you all!

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# Sum of squares

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