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arXiv · 1610.05804

Products of primes in arithmetic progressions: a footnote in parity breaking

Olivier Ramaré·Aled Walker
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Abstract

We prove that, if $x$ and $q\leqslant x^{1/16}$ are two parameters, then for any invertible residue class $a$ modulo $q$ there exists a product of exactly three primes, each one below $x^{1/3}$, that is congruent to $a$ modulo $q$.

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Olivier Ramaré, Aled Walker. 2016-10-18. Products of primes in arithmetic progressions: a footnote in parity breaking. https://arxiv.org/abs/1610.05804

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