We completely solve the Diophantine equation in integers ; and with , except the case , and . We use this result to recover some earlier results in the same direction.
"On the solutions of certain Lebesgue–Ramanujan–Nagell equations." Rocky Mountain J. Math. 51 (2) 459 - 471, April 2021. https://doi.org/10.1216/rmj.2021.51.459