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

Nutchanon Chiamchanya, S. Earp-Lynch, Omar Kihel, P. Pongsumpun

2026.2.16European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v19i1.7371

Abstract

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

Citation format

CHIAMCHANYA, Nutchanon, et al. On the diophantine equation ln−lm=11·2^a. European Journal of Pure and Applied Mathematics, 2026.