A. Togbé

activity

20152026

most citedFibonacci and Lucas numbers as products of three repdigits in base

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3 citations · 6 across the 8 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

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…