When x^2 + p*y and y^2 + p*x are squares, p is a small odd prime

 
 

Find positive integers   x, y   so that the expressions

x^2 \; + \; p \, y,     and
y^2 \; + \; p \, x

are to made squares

where   p = 3, 5, 7, 11, 13, 17, 19

 
 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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