**Problem 9**

*A Pythagorean triplet is a set of three natural numbers, a b c, for which,*

`a`^{2} + `b`^{2} = `c`^{2}

*For example, 3 ^{2} + 4^{2} = 9 + 16 = 25 = 5^{2}.*

*There exists exactly one Pythagorean triplet for which a + b + c = 1000. *

Find the product abc.

**Solution**

select a*b*c from PythagoreanTriple

where a + b + c = 1000

**Discussion**

Clearly this problem is easy if you have a table full of Pythagorean triples. It turns out I do and it is a lot bigger than 1000.

Please, leave a comment, find me on Twitter (@azzlsoft) or email (rich@azzlsoft.com).