Finiteness results for Diophantine triples with repdigit values

Attila Bérczes, Florian Luca, István Pink +1

Let $g\ge 2$ be an integer and ${\mathcal{R}}_g\subset \mathbb{N}$ be the set of repdigits in base $g$. Let ${\mathcal{D}}_g$ be the set of Diophantine triples with values in $\mathcal R_…