Complete solutions of a Lebesgue-Ramanujan-Nagell type equation

Priyanka Baruah, Anup Das, Azizul Hoque

We consider the Lebesgue-Ramanujan-Nagell type equation $x^2+5^{a}13^{b}17^c=2^m{y}^n$, where $a,b,c,m\ge 0,n\ge 3$ and $x,y\ge 1$ are unknown integers with $\gcd (x,y)=1$. We det…