A. Togbé

most citedPell or Pell-Lucas numbers as concatenations of two repdigits in base

b

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.NT2022★ 1 cited

Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$

Kouessi Norbert Adedji, Alan Filipin, Salah Eddine Rihane +1

Let $b$ be a positive integer such that $2 \leq b \leq 10$ . In this study, we find all Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$ . As a corollary, it…

math.NT2018

An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers

Salah E. Rihane, Bernadette Faye, Florian Luca +1

In this paper, we find all solutions of the exponential Diophantine equation $B_{n + 1}^{x} - B_{n}^{x} = B_{m}$ in positive integer variables $(m, n, x)$ , where $B_{k}$ is the $k$ -th term of the…

math.NT2018

Generalized Cullen Numbers in Linear Recurrence Sequences

Yuri Bilu, Diego Marques, Alain Togb\' e

A Cullen number is a number of the form $m 2^{m} + 1$ , where $m$ is a positive integer. In 2004, Luca and St\u anic\u a proved, among other things, that the largest Fibonacci number in…