# Definition:Repdigit Number

## Definition

Let $b \in \Z_{>1}$ be an integer greater than $1$.

Let a (positive) integer $n$, greater than $b$, be expressed in base $b$.

$n$ is a repdigit base $b$ if and only if all of the digits of $n$ are the same digit.

For example:

$55555$

or:

$3333_4$

that second one being in base 4.

## Linguistic Note

The derivation of the term repdigit is clear: it comes from repeated digit.