Product of an integer free of small prime factors and prime in arithmetic progression
2021
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. Our best results is conditional on the Generalised Riemann hypothesis (GRH). As a corollary, we make progress on a conjecture of Erdos, Odlyzko, and Sarkozy.
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