Monatshefte für Mathematik | 2021
Product of an integer free of small prime factors and prime in arithmetic progression
Abstract
We establish estimates for the number of ways to represent any reduced residue class as a product of a prime and an integer free of small prime factors. The best results we obtain is conditional on the generalised Riemann hypothesis (GRH). As a corollary, we make progress on a conjecture of Erdos, Odlyzko and Sarkozy.