Primes in tuples and Romanoff's theorem
Izvestiya. Mathematics , Tome 89 (2025) no. 1, pp. 125-139

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A lower bound for the number of primes in tuples is obtained. As an application, a lower bound for the Romanoff type representation functions is given.
Keywords: prime number, Bombieri–Vinogradov type theorem, representation function, Romanoff's theorem.
Mots-clés : primes in tuples
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A. O. Radomskii. Primes in tuples and Romanoff's theorem. Izvestiya. Mathematics , Tome 89 (2025) no. 1, pp. 125-139. http://geodesic.mathdoc.fr/item/IM2_2025_89_1_a5/