On Narayana numbers which are products of four b-repdigits with a consequence

2025/10/21 by Dagou, Passimzouwé, Tiebekabe, Pagdame, Tcharie, Kokou
#FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2510.18916

Abstract

In this paper, we focus on Narayana numbers which can be written as a products of four repdigits in base g, where g is an integer with g≥2. We prove that for g between 2 and 12, there are finitely many of these numbers. Moreover we have fully determined them.

Citations

• Narayana's cows numbers which are concatenations of three repdigits in base ρ
• Two Problems on Narayana Numbers And Repeated Digit Numbers
• Fibonacci and Lucas numbers as products of three repdigits in base g
• Classical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers

Related

• Narayana numbers as product of three repdigits in base g
• Two Problems on Narayana Numbers And Repeated Digit Numbers
• Repdigits in Narayana's Cows Sequence and their Consequences
• Narayana's cows numbers which are concatenations of three repdigits in base ρ
• Members of Narayana's cow sequence that are concatenations of two repdigits