Fibonacci and Lucas numbers as difference of two repdigits

DOI10.1007/s12215-021-00645-3zbMath1497.11037OpenAlexW3189271245MaRDI QIDQ2154671

Refik Keskin, Florian Luca, Fatih Erduvan

Publication date: 20 July 2022

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-021-00645-3

zbMATH Keywords

linear forms in logarithmsDiophantine equationsFibonacci numberLucas numberrepdigit

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

Pell and Pell-Lucas numbers as difference of two repdigits

Cites Work

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• k-generalized Fibonacci numbers which are concatenations of two repdigits
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• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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