Question: (a) Prove that if n is a positive integer such that n 3 mod 4,then n cannot be written as the sum of two squares

(a) Prove that if n is a positive integer such that n (a) Prove that if n is a positive integer such that n 3 mod 4,then n cannot be written as the sum of two squares of integers.

(b) Prove or disprove the converse of the statement in part(a).

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