2 citations · 2 across the 6 of their papers we have counts for
6 papers
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 for some and . Let…
Sequences of integers generated by two fixed primes
Alessandro Languasco, Florian Luca, Pieter Moree +1
Let and be two distinct fixed prime numbers and the sequence of consecutive integers of the form with . Tijdeman gave a lower bou…
On The Strmer 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.
On the -pairs with
Kouèssi Norbert Adédji, Marija Bliznac Trebješanin, Alan Filipin +1
Let and be positive integers with such that is a perfect square. In this paper, we study the extensibility of the -pairs Mo…
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…
On the -coordinates of Pell equations which are Tribonacci numbers
Florian Luca, Amanda Montejano, Laszlo Szalay +1
For an integer which is not a square, we show that there is at most one value of the positive integer participating in the Pell equation which is a T…