Repdigits as products of consecutive Padovan or Perrin numbers

DOI10.1007/s40065-021-00317-1zbMath1489.11031OpenAlexW3145798539MaRDI QIDQ2048946

Salah Eddine Rihane, Alain S. Togbé

Publication date: 24 August 2021

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-021-00317-1

zbMATH Keywords

linear forms in logarithmsPadovan numbersPerrin numbersrepdigits

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

Padovan or Perrin numbers that are concatenations of two distinct base \(b\) repdigits

Uses Software

• OEIS

Cites Work

• Repdigits as sums of three Padovan numbers
• 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
• Repdigits as products of consecutive balancing or Lucas-balancing numbers
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