Compute pythagorean triplets in python via euclid s method

sure! pythagorean triplets are sets of three positive integers (a, b, c) such that \( a^2 b^2 = c^2 \). euclid's formula is a method for generating pythagorean triplets. it states that for any two positive integers m and n where \( m n \), the pythagorean triplet can be generated as follows: \[ a = m^2 - n^2, \, b = 2mn, \, c = m^2 n^2 \]