Definition:Repdigit Number
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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.
Sources
- Weisstein, Eric W. "Repdigit." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Repdigit.html