Fibonacci numbers | is 5 F^2_{2k} + 4 always a square number?

 
 

Is   5 \, F^2_{2k} \; + \; 4   always a square number?

Also, is   5 \, F^2_{2k-1} \; - \; 4   always a square number?

 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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