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=52.There exists exactly one Pythagorean triplet for which a+b+c=1000. Find the product abc.
a<b<c
a^2+b^2=c^2.
3^2+4^2=9+16=25=52
a+b+c=1000
abc
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