Original scientific paper

https://doi.org/10.3336/gm.43.2.03

Fibonacci Diophantine triples

Florian Luca ; Instituto de Matemáticas, Universidad Nacional Autonoma de México, C.P. 58180, Morelia, Michoacán, México
László Szalay ; Institute of Mathematics and Statistics, University of West Hungary, 9400, Sopron, Erzsébet utca 9, Hungary

Abstract

In this paper, we show that there are no three distinct positive integers a, b, c such that ab+1, ac+1, bc+1 are all three Fibonacci numbers.

Keywords

Binary recurrences; Fibonacci and Lucas numbers; Diophantine triples

Hrčak ID:

28895

URI

https://hrcak.srce.hr/28895

Publication date:

10.11.2008.

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