To make {(x-y),(y-z),(x-z),(x+y-z), (x+z-y), (y+z-x)}

 
 
Find three positive integers   x, \; y, \; z   such that

       x \; - \; y,
       y \; - \; z,
       x \; - \; z,
       x \; + \; y \; - \; z,
       x \; + \; z \; - \; y,
       y \; + \; z \; - \; x

are all squares
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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