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This article is cited in 1 scientific paper (total in 1 paper)
Consecutive Primes in Short Intervals
Artyom O. Radomskii Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
We obtain a lower bound for $\#\{x/2<p_n\leq x:\, p_n\equiv \dots \equiv p_{n+m}\equiv a\pmod {q}$, $p_{n+m} - p_n\leq y\}$, where $p_n$ is the $n$th prime.
Keywords:
Euler's totient function, sieve methods, distribution of prime numbers.
Received: July 1, 2020 Revised: October 28, 2020 Accepted: November 3, 2020
Citation:
Artyom O. Radomskii, “Consecutive Primes in Short Intervals”, Analytic and Combinatorial Number Theory, Collected papers. In commemoration of the 130th birth anniversary of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 314, Steklov Math. Inst., Moscow, 2021, 152–210; Proc. Steklov Inst. Math., 314 (2021), 144–202
Linking options:
https://www.mathnet.ru/eng/tm4163https://doi.org/10.4213/tm4163 https://www.mathnet.ru/eng/tm/v314/p152
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Abstract page: | 324 | Full-text PDF : | 51 | References: | 45 | First page: | 12 |
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