Abstract: We obtain a lower bound for a number of primes in tuples. As applications, we obtain a lower bound for the Romanoff's type representation functions.

Keywords: Primes; the Bombieri-Vinogradov type theorem; Representation functions; Primes in tuples; Romano 's theorem.

Received: 06.10.2023
Revised: 29.05.2024

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Related articles in Google Scholar: Russian articles, English articles