Sequences of integers generated by two fixed primes

Alessandro Languasco, Florian Luca, Pieter Moree +1

Let $p$ and $q$ be two distinct fixed prime numbers and $(n_i{)}_{i\ge 0}$ the sequence of consecutive integers of the form $p^a\cdot q^b$ with $a,b\ge 0$. Tijdeman gave a lower bou…