pairs (a,b) such that σ(a)=2b and σ(b)=2a

 
 

(1)

Find pairs   (a, b)   such that

\sigma \,(a) \; = \; 2 \, b,          \sigma \,(b) \; = \; 2 \, a

 
 

(2)

\sigma \, ( \, \sigma \,(a) \,) \; = \; 2 \, b,          \sigma \, ( \sigma \,(b) \,) = 2 \, a

 
 
 
 
 
 
 
 
 

 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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