Special Pythagorean tripletNumber Theory Level 2
A Pythagorean triplet is a set of three natural numbers, a < b < c, 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.
The problem is not original.