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Products of two elements of Granville's random model in residue classes
Erdős, Odlyzko and Sárközy conjectured that every reduced residue class modulo $q$ contains a product of two primes not exceeding $q$; their conjecture remains open even under the GRH. We prove that its analogue holds, unconditionally and in the wider range $q^Θ$ for any fixed $Θ> 3/4$, in Granville
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