Open AccessFibonacci Diophantine triples
Author(s) -
Florian Luca,
László Szalay
Publication year - 2008
Publication title -
glasnik matematicki
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 , pisano period , combinatorics , lucas number , discrete mathematics , fibonacci polynomials , orthogonal polynomials , difference polynomials
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
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