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Diophantine Equationshard
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A Pythagorean triple (a,b,c)(a, b, c)(a,b,c) is 'primitive' if gcd⁡(a,b,c)=1\gcd(a, b, c) = 1gcd(a,b,c)=1. Which formula generates all such triples for coprime m>n>0m > n > 0m>n>0 of opposite parity?