Alain Togb'e

activity

20172025

most citedOn the conjecture of Jeśmanowicz

2 citations · 2 across the 2 of their papers we have counts for

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math.NT2025

Repdigits as Product of Consecutive Shifted Tribonacci Numbers

Pranabesh Das, Salah Eddine Rihane, Alain Togbé

A repdigit is a positive integer that has only one distinct digit in its decimal expansion, i.e., a number has the form $d (1 0^{m} - 1) /9$ for some $m \geq 1$ and $1 \leq d \leq 9$ . Let…

math.NT2023

Sequences of integers generated by two fixed primes

Alessandro Languasco, Florian Luca, Pieter Moree +1

Let $p$ and $q$ be two distinct fixed prime numbers and $(n_{i})_{i \geq 0}$ the sequence of consecutive integers of the form $p^{a} \cdot q^{b}$ with $a, b \geq 0$ . Tijdeman gave a lower bou…

math.NT2022

On The St $o ¨$ rmer Theorem And Its Applications

Pingzhi Yuan, Jiagui Luo, Alain Togbé

In the present paper we introduce old and new results related to Störmer theorem about Pell equations. Moreover we give four types of applications of these results.

math.NT2017★ 2 cited

On the conjecture of Jeśmanowicz

Gökhan Soydan, Musa Demirci, Ismail Naci Cangul +1

We give a survey on some results covering the last 60 years concerning Jeśmanowicz' conjecture. Moreover, we conclude the survey with a new result by showing that the special Dioph…

Repdigits as Product of Consecutive Shifted Tribonacci Numbers

Sequences of integers generated by two fixed primes

On The Sto¨rmer Theorem And Its Applications

On the conjecture of Jeśmanowicz

On The St $o ¨$ rmer Theorem And Its Applications