On the Diophantine Inequality $|x^2-2^a\cdot 3^b|<3\max \{a,b\}$

Banu İrez Aydın, Herbert Batte, İlker İnam +2

In this paper, we show that there are $57$ nonnegative integer solutions $(a,b,x)$ to the inequality $1\le |x^2-2^a\cdot 3^b|<3\max \{a,b\}$ and we list them e…