A Pythagorean triplet is a set of three natural numbers, abc, for which,a2 + b2 = c2
For example, 32 + 42 = 9 + 16 = 25 = 52.
There exists exactly one Pythagorean triplet for which a + b + c = 1000.
Find the product abc.
I used Euclid’s formula for generating Pythagorean triplets.