DIOPHANTINE TRIPLES WITH VALUES IN THE SEQUENCES OF FIBONACCI AND LUCAS NUMBERS

作者：Luca Florian^*; Munagi Augustine O

来源：Glasnik Matematicki, 2017, 52(1): 23-43.

DOI：10.3336/gm.52.1.03

• Diophantine triples
• Fibonacci numbers
• Lucas numbers

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, be + 1 are all members of FL.

• 出版日期2017