Balancing numbers which are concatenations of three repdigits

DOI10.15330/CMP.16.1.148-157MaRDI QIDQ6589497

Refik Keskin, Fatih Erduvan

Publication date: 19 August 2024

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

zbMATH Keywords

Diophantine equationconcatenationlinear form in logarithmsbalancing 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)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Linear forms in logarithms and applications
• Lucas numbers which are concatenations of two repdigits
• Lucas numbers which are concatenations of three repdigits
• Padovan numbers that are concatenations of two distinct repdigits
• 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
• Fibonacci numbers which are concatenations of two repdigits
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• Repdigits in the base $b$ as sums of four balancing numbers

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