Problem 9
Special Pythagorean triplet
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.
These problems are part of Project Euler and are licensed under CC BY-NC-SA 2.0 UK