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w^a+x^a+y^a=z^a

 

This resembles fermats last theorem. On the left side there are three terms instead of two. One solution is easy to spot. w=3 x=4 y=5 z=6 and a=3. Are there more integer solutions to this equation, and are there solutions for a>3 ?

 
 Oct 24, 2014

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