On the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n} $

arxiv: 1001.2525 · v1 · submitted 2010-01-14 · 🧮 math.NT

On the Diophantine Equation x²+5^(a)cdot 11^(b)=y^(n)

I.N. Cang\"ul , M. Demirci , G. Soydan , N. Tzanakis This is my paper

classification 🧮 math.NT

keywords equationwhencasecdotcompletediophantineexceptgive

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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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