Complete solution of the Diophantine Equation $x^2+5^a\cdot 11^b=y^n$

Gökhan Soydan, Nikos Tzanakis

The title equation is completely solved in integers $(n,x,y,a,b)$, where $n\ge 3$, $\gcd (x,y)=1$ and $a,b\ge 0$. The most difficult stage of the resolution is the explicit resolu…