## 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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