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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Two b–repunits in the Fibonacci sequence
Journal of Number Theory, Volume 222, Year 2021
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Description
In this article, we find all integers b≥2 such that the Diophantine equation Fn=(bm−1)/(b−1) has at least two nontrivial positive integer solutions (n,m), where Fn is the nth Fibonacci number.
Authors & Co-Authors
Gómez, Carlos Alexis
Colombia, Cali
Universidad Del Valle, Cali
Gómez, Jhonny Carpediem
Colombia, Cali
Universidad Del Valle, Cali
Luca, Florian
South Africa, Johannesburg
University of the Witwatersrand
Saudi Arabia, Jeddah
King Abdulaziz University
Mexico, Morelia
Unam Campus Morelia
Statistics
Citations: 3
Authors: 3
Affiliations: 4
Identifiers
Doi:
10.1016/j.jnt.2020.10.006
ISSN:
0022314X