A pythagorean triplet

Example: 3^2 + 4^2 = 19 + 16 = 25 = 5^2

There exists exactly one pythagorean triplet for which a + b + c = 1000. Find the product abc


Source: ProjectEuler.net (Problem 9)

Python Implementation:

sum=1000 arange=(sum/3)+1 for a in range(arange): b=a+1 brange=(sum/2)+1 for b in range(brange): c=sum-a-b if((a*a) + (b*b) == (c*c)): print a*b*c