On the Diophantine Equation Ln−Lm=11·2^a

Authors

  • Nutchanon Chiamchanya
  • Simon Earp-Lynch
  • Omar Kihel
  • Puntani Pongsumpun King Mongkut's Institute of Technology Ladkrabang

DOI:

https://doi.org/10.29020/nybg.ejpam.v19i1.7371

Keywords:

Diophantine equation, Lucas number, Baker’s method

Abstract

Using Baker’s method, we completely solve the title equation in positive integers n, m and a for Ln the nth Lucas number.

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Published

2026-02-16

Issue

Vol. 19 No. 1: (January 2026)

Section

Number Theory

License

Copyright (c) 2026 Nutchanon Chiamchanya, Simon Earp-Lynch , Omar Kihel , Puntani Pongsumpun

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How to Cite

On the Diophantine Equation Ln−Lm=11·2^a. (2026). European Journal of Pure and Applied Mathematics, 19(1), 7371. https://doi.org/10.29020/nybg.ejpam.v19i1.7371