Fibonacci Numbers which are Products of two Pell Numbers
Mahadi Ddamulira, Florian Luca, Mihaja Rakotomalala
TL;DR
This paper characterizes all Fibonacci numbers that can be expressed as the product of two Pell numbers, and vice versa, providing a complete classification of such special number pairs.
Contribution
It offers a complete characterization of Fibonacci and Pell numbers that are products of two numbers from the other sequence, extending known number theory results.
Findings
Identified all Fibonacci numbers that are products of two Pell numbers.
Determined all Pell numbers that are products of two Fibonacci numbers.
Provided explicit classifications for these special number pairs.
Abstract
In this paper, we find all Fibonacci numbers which are products of two Pell numbers and all Pell numbers which are products of two Fibonacci numbers.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Identities · Advanced Mathematical Theories