On the complete solutions of a generalized Lebesgue-Ramanujan-Nagell equation

Kalyan Chakraborty, Azizul Hoque

We consider the generalized Lebesgue-Ramanujan-Nagell equation $x^2+17^{k}41^{\ell }59^m=2^{\hat{I}}´y^n$ in the unknown integers $x\ge 1,y>1,n\ge 3$ and $k,\ell ,m\ge 0$ satisfying $\gcd…