When {(x+y+z)^5-x, (x+y+z)^5-y, (x+y+z)^5-z} are squares

 
 

Find integers   x, y, z   such that

A^5 - x,      A^5 - y,      A^5 - z   are squares,

where   A = x + y + z

 

 
 

 
 

 
 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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