Glasnik matematički, Vol. 43 No. 2, 2008.
Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Binary recurrences; Fibonacci and Lucas numbers; Diophantine triples
Hrčak ID:
28895
URI
Datum izdavanja:
10.11.2008.
Posjeta: 1.410 *