Lucas numbers which are concatenations of two repdigits

DOI10.1007/s40590-021-00341-3zbMath1481.11021OpenAlexW3133419984MaRDI QIDQ2024020

Refik Keskin, Fatih Erduvan

Publication date: 3 May 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-021-00341-3

zbMATH Keywords

linear forms in logarithmsDiophantine equationsLucas numberconcatenationsrepdigit

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 (5)

Repdigits as difference of two Fibonacci or Lucas numbers ⋮ Fibonacci and Lucas numbers as difference of two repdigits ⋮ On concatenations of two Padovan and Perrin numbers ⋮ Padovan numbers which are palindromic concatenations of two distinct repdigits ⋮ Generalized Lucas numbers which are concatenations of two repdigits

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear forms in logarithms and applications
• Tribonacci numbers that are concatenations of two repdigits
• Balancing numbers which are concatenation of two repdigits
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Products of $k$-Fibonacci numbers which are rep-digits
• On the $x-$coordinates of Pell equations which are sums of two Padovan numbers
• Powers of two as sums of two k-Fibonacci numbers

This page was built for publication: Lucas numbers which are concatenations of two repdigits