On the Diophantine equation x²+2^a.3^b.11^c=yⁿ

2012/01/03 by İsmail Naci Cangül, Musa Demırcı, Cangul, Ismail Naci +7
Mathematics · #11D41 #11D61 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1201.0730

openalex publication_date 2012/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we find all the solutions of the Diophantine equation x² +2^a.3^b.11^c=yⁿ in nonnegative integers a, b, c, x, y, n>= 3 with x and y coprime.

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