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.

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for a in range(1,334):
 for b in range(a,1000):
  if a**2 + b**2 == (1000-a-b)**2:
   print a,b,1000-a-b,a*b*(1000-a-b)