Numbers 561 and 1105

 
 
The two smallest composite numbers for which   n|(2^n - 2)   and   n|(3^n - n) are   561   and   1105.

 
 

N.B.   It is not known whether there exist infinitely many composite numbers for which   n|(2^n - 2)   and   n|(3^n - n)

 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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