a+b+c=1000, a^2+b^2=c^2, a*b*c=x in WolframAlpha gives 84 solutions, of which the only Pythagorean triplet is {375,200,425} giving x= 31,875,000.
This triplet is clearly not primitive; it is 25*{15,8,17} (u=1,v=4).
Edited on August 28, 2012, 11:00 am
blackjack
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flooble's webmaster puzzle
possible solution
