Write down the converse of each of the following statements: (2) i) If n =1 (mod 4) for a natural number n, then n = x^2+y^2 for two integers x and y.
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Converse of given statement is
i) If there exists two integers and such that for a natural number , then .
Note: This statement is not true in general.
E.g.: Let but 8 .