On the Diophantine Equation x²+5^a⋅ 11^b=yⁿ

2010/01/14 by İsmail Naci Cangül, Musa Demırcı, Cangül, I. N. +5
Mathematics · #11D25 #11D41 #11D59 #11D61 #11J86 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1001.2525

openalex publication_date 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give the complete solution in integers (n,a,b,x,y) of the title equation when gcd(x,y)=1, except for the case when xab is odd.

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