International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 4, Pages 239-244
doi:10.1155/S0161171202004696
On the equation x2+2a⋅3b=yn
Florian Luca
Mathematical Institute, UNAM, Ap. Postal 61-3 (Xangari), CP 58 089 Morelia, Michoacán, Mexico
Abstract
We find all positive integer solutions (x,y,a,b,n) of x2+2a⋅3b=yn with n≥3 and coprime x and y.