- Turkish Journal of Mathematics
- Vol: 43 Issue: 5
- Fibonacci and Lucas numbers as products of two repdigits
Fibonacci and Lucas numbers as products of two repdigits
Authors : Fatih Erduvan, Refik Keskin
Pages : 2142-2153
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this study, it is shown that the largest Fibonacci number that is the product of two repdigits is $F_{10}=55=5\cdot 11=55\cdot 1$ and the largest Lucas number that is the product of two repdigits is $L_{6}=18=2\cdot 9=3\cdot 6.$Keywords : Fibonacci number, Lucas number, repdigit, Diophantine equations, linear forms in logarithms