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Fermat's theorem on sums of two squares

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In additive number theory, Fermat's theorem on sums of two squares states that an odd prime p can be expressed as: p = x 2 + y 2 , {\displaystyle p=x^{2}+y^{2},} with x and y integers, if and only if p ≡ 1 ( mod 4 ) .

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