On the Diophantine equation N X^2 + 2^L 3^M = Y^N

Eva G. Goedhart, Helen G. Grundman

We prove that the Diophantine equation N X^2 + 2^L 3^M = Y^N has no solutions (N,X,Y,L,M) in positive integers with N > 1 and gcd(NX,Y) = 1, generalizing results of Luca, Wang and…