Fatih ERDUVAN, Refik KESKİN

Fibonacci and Lucas numbers as products of two repdigits

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,

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ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

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