On products of primes and almost primes in arithmetic progressions
Tom 204 / 2022
Acta Arithmetica 204 (2022), 253-267
MSC: Primary 11N36; Secondary 11N25.
DOI: 10.4064/aa211215-2-6
Opublikowany online: 7 July 2022
Streszczenie
Let be a large positive integer and let (a,q)=1. We prove that there exist primes p_1,p_2\le q and a number n\le q with at most two prime factors such that p_1p_2n\equiv a\pmod {q}. This improves upon a result of Shparlinski (2018).
