On the Diophantine Equation x2+5a⋅11b=ynx^{2}+5^{a}\cdot 11^{b}=y^{n}

preprint2010arXivOpen access

Abstract

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

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