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https://doi.org/10.3336/gm.52.1.03

Diophantine triples with values in the sequences of Fibonacci and Lucas numbers

Florian Luca orcid id orcid.org/0000-0003-1321-4422 ; The John Knopfmacher Centre for Applicable Analysis and Number Theory, University of the Witwatersrand, Private Bag X3, Wits 2050, South Africa
Augustine O. Munagi ; The John Knopfmacher Centre for Applicable Analysis and Number Theory, University of the Witwatersrand, Private Bag X3, Wits 2050, South Africa


Puni tekst: engleski pdf 180 Kb

str. 23-43

preuzimanja: 404

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Sažetak

Let FL={1,2,3,4,5,7,8,11,13,18,21, … } be the set consisting of all Fibonacci and Lucas numbers with positive subscripts. We find all triples (a,b,c) of positive integers a < b < c such that ab+1, ac+1, bc+1 are all members of FL.

Ključne riječi

Diophantine triples, Fibonacci numbers, Lucas numbers

Hrčak ID:

183120

URI

https://hrcak.srce.hr/183120

Posjeta: 636 *