(a,b); gcd(a,b) = 1; (a^2 – 5)/b and (b^2 – 5)/a are positive integers

 

Does there exist an infinite numbers of pairs (a, b) satisfying the given conditions?

 
(a,b) 1
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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