Open AccessFibonacci Diophantine triples
Author(s) -
Florian Luca,
László Szalay
Publication year - 2008
Publication title -
glasnik matematički
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 0.332
H-Index - 17
eISSN - 1846-7989
pISSN - 0017-095X
DOI - 10.3336/gm.43.2.03
Subject(s) - fibonacci number , mathematics , diophantine equation , diophantine set , pure mathematics , combinatorics , arithmetic , discrete mathematics
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