An Elementary Proof of a Result Ma and Chen

In 1956, Je_smanowicz conjectured that, for positive integers m and n with m > n; gcd(m; n) = 1 and m ≢ n (mod 2), the exponential Diophantine equation (m² -n²)^x + (2mn)^y = (m² + n²)^z has only the positive integer solution (x; y; z) = (2; 2; 2)....