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Eric Rawls
10/11/10 8:00pm

I'm currently writing a program to return all of the Pythagorean triples that have 32045 as the hypotenuse. To do this I am using the code

TriplesWithHypotenuse[hypot_] :=
Flatten[Riffle[PowersRepresentations[hypot^2, 2, 2], hypot]], 3]

The problem is, PowersRepresentations isn't returning one of the primitive triples that has a hypotenuse of 32045 -- {23067,22244,32045}. What gives? Why is PowersRepresentations missing this one triple?

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