Glasnik matematički, Vol. 52 No. 1, 2017.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.52.1.03
Diophantine triples with values in the sequences of Fibonacci and Lucas numbers
Florian Luca
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
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
Datum izdavanja:
21.6.2017.
Posjeta: 986 *