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.
select a*b*c from PythagoreanTriple
where a + b + c = 1000
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.