The Diophantine Equation x^{2}+11^{m}=y^{n}

Gokhan Soydan; Ismail Naci Cangul; Musa Demirci

arxiv: 1112.5986 · v1 · pith:XA4FLCQNnew · submitted 2011-12-27 · 🧮 math.NT

The Diophantine Equation x²+11^(m)=y^(n)

Gokhan Soydan , Musa Demirci , Ismail Naci Cangul This is my paper

classification 🧮 math.NT

keywords diophantineequationgiveintegersobjectpositiveproofsolutions

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The object of this paper is to give a new proof of all the solutions of the Diophantine equation x^2+11^m=y^n; in positive integers x, y with odd m>1 and n>=3.

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The Diophantine Equation x²+11^(m)=y^(n)

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