On a problem of Pillai involving S-units and Lucas numbers

Herbert Batte, Mahadi Ddamulira, Juma Kasozi +1

Let $\{L_n{\}}_{n\ge 0}$ be the sequence of Lucas numbers. In this paper, we look at the exponential Diophantine equation $L_n-2^x{3}^y=c$, for $n,x,y\in {\mathbb{Z}}_{\ge 0}$. We trea…