Type: Article

Perfect repdigits

Broughan, Kevin; Guzman Sanchez, Sergio; Luca, Florian;

Abstract:

Here, we give an algorithm to detect all perfect repdigits in any base g > 1. As an application, we find all such examples when g is an element of [2, ..., 333], extending a calculation from [2]. In particular, we demonstrate that there are no odd perfect repdigits for this range of bases.