Products of primes in arithmetic progressions: a footnote in parity breaking
classification
🧮 math.NT
keywords
moduloprimesarithmeticbelowbreakingclasscongruentexactly
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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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