Repdigits as Product of Consecutive Shifted Tribonacci Numbers

Pranabesh Das; Salah Eddine Rihane; Alain Togbé

Repdigits as Product of Consecutive Shifted Tribonacci Numbers

Number Theory 2025-09-12 v1

Authors: Pranabesh Das , Salah Eddine Rihane , Alain Togbé

Abstract

A repdigit is a positive integer that has only one distinct digit in its decimal expansion, i.e., a number has the form $d(10^m-1)/9$ for some $m\geq 1$ and $1 \leq d \leq 9$ . Let $\left(T_n\right)_{n\ge0}$ be the sequence of Tribonacci. This paper deals with the presence of repdigits in the products of consecutive shifted Tribonacci numbers.

Keywords

repdigits Tribonacci numbers consecutive products number theory

Cite

@article{arxiv.2509.09578,
  title  = {Repdigits as Product of Consecutive Shifted Tribonacci Numbers},
  author = {Pranabesh Das and Salah Eddine Rihane and Alain Togbé},
  journal= {arXiv preprint arXiv:2509.09578},
  year   = {2025}
}

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