%0 Journal Article %T Diophantine triples with values in the sequences of Fibonacci and Lucas numbers %A Luca %A Florian %A Munagi %A Augustine O. %J - %D 2017 %R 10.3336/gm.52.1.03 %X SaŁżetak Let FL={1,2,3,4,5,7,8,11,13,18,21, ˇ­ } 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 %K Diophantine triples %K Fibonacci numbers %K Lucas numbers %U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=270022