When A^4 ± N are squares

 

 
Solve the system:

A^4 \; - \; N \; = \; P^2
A^4 \; + \; N \; = \; Q^2

 

 
 

 
 

 
 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged . Bookmark the permalink.

2 Responses to When A^4 ± N are squares

  1. Paul says:

    Here are a few solutions, Format {a, n, p, q}.

    {5,336,17,31}
    {5,600,5,35}
    {10,5376,68,124}
    {10,9600,20,140}
    {13,20280,91,221}
    {13,28560,1,239}
    {15,27216,153,279}
    {15,48600,45,315}
    {17,69360,119,391}
    {17,77280,79,401}
    {20,86016,272,496}
    {29,68880,799,881}

    Paul.

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