论文标题
短时间连续素数
Consecutive primes in short intervals
论文作者
论文摘要
我们获得了\ [\#\ {x/2 <p_ {n} \ leq x:\ p_n \ equiv \ equiv \ equiv p_ equiv p_ { $ p_ {n} $是$ n^{\ text {th}} $ prime。
We obtain a lower bound for \[ \#\{x/2< p_{n}\leq x:\ p_n \equiv\ldots\equiv p_{n+m}\equiv a\text{ (mod $q$)},\ p_{n+m} - p_{n}\leq y\}, \] where $p_{n}$ is the $n^{\text{th}}$ prime.