Project Euler 9 Special Pythagorean triplet

Project Euler 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.
'''
from math import *
a=0
while a<1000:
    b=0
    while b<1000 :
        c=1000-a-b
        if a<b and b<c and a*a+b*b==c*c:
            print a*b*c
        b+=1
    a+=1