Definition:Repunit Prime/Index

Definition

The index of a repunit prime is the number of digits it has.

Thus $R_n$ denotes a repunit prime with $n$ digits.

Sequence

Expressing a repunit prime of $n$ digits by $R_n$, the complete sequence of known repunit primes (base $10$) can be expressed as:

$R_2, R_{19}, R_{23}, R_{317}, R_{1031}, R_{49 \, 081}, R_{86 \, 453}, R_{109 \, 297}, R_{270 \, 343}, R_{5 \, 794 \, 777}, R_{8 \, 177 \, 207}$

Linguistic Note

The derivation of the term repunit is clear: it comes from repeated unit.