Consecutive Primes in Short Intervals
نویسندگان
چکیده
We obtain a lower bound for $$\#\{x/2<p_n\leq x \colon\, \, p_n\equiv\dots\equiv p_{n+m}\equiv a\pmod{q}$$ , $$p_{n+m} - p_n\leq y\}$$ where $$p_n$$ is the $$n$$ th prime.
منابع مشابه
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ژورنال
عنوان ژورنال: Proceedings of the Steklov Institute of Mathematics
سال: 2021
ISSN: ['1531-8605', '0081-5438']
DOI: https://doi.org/10.1134/s008154382104009x