On Padovan or Perrin numbers as products of three repdigits in base \(\delta \)

Let \(P_m\) $P_m$ and \(E_m\) $E_m$ be the m-th Padovan and Perrin numbers, respectively. In this paper, we prove that for a fixed integer \(\delta \) $\delta$ with \(\delta \ge 2\) $\delta \ge 2$ there exists finitely many Padovan and Perrin numbers that can be represented as products of three repdigits in base \(\delta .\) $\delta .$ Moreover, we explicitly find these numbers for \(2\le \delta \le 10\) $2\le \delta \le 10$ as an application.