Near-Repdigit Prime/Sequence

Sequence of Near-Repdigit Primes
The sequence of near-repdigit primes begins:


 * $101$, $113$, $131$, $151$, $181$, $191$, $199$, $211$, $223$, $227$, $229$, $233$, $277$, $311$, $313$, $331$, $337$, $\ldots$