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Diophantine Equationseasy
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Fermat's theorem on sums of two squares states that an odd prime ppp can be expressed as x2+y2x^2 + y^2x2+y2 (where xxx and yyy are integers) if and only if p≡1(mod4)p \equiv 1 \pmod{4}p≡1(mod4). Which of the following primes can be written as the sum of two squares of integers?