\begin{definition}[Definition:Permutable Prime/Sequence]
The sequence of '''permutable primes''' begins:
:$2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 199, 311, 337, 373, 733, 919, 991, R_{19}, R_{23}, R_{317}, R_{1091}, \ldots$
where $R_n$ denotes the repunit of $n$ digits.
{{OEIS|A003459}}
The smallest 
elements of the permutation sets of these are:
:$2, 3, 5, 7, 11, 13, 17, 37, 79, 113, 199, 337, R_{19}, R_{23}, R_{317}, R_{1091}, \ldots$
{{OEIS|A258706}}
{{expand|Include on specific number pages}}
\end{definition}