论文标题
$ [n^c] $带有无方形$ n $的素数
Primes of the form $[n^c]$ with square-free $n$
论文作者
论文摘要
令$ [\,\ cdot \,] $为地板功能。在本文中,我们表明,当$ 1 <c <\ frac {3849} {3334} $时,则存在$ [n^c] $的形式的许多质量数字,其中$ n $是无方形的。
Let $[\, \cdot\,]$ be the floor function. In this paper we show that when $1<c<\frac{3849}{3334}$, then there exist infinitely many prime numbers of the form $[n^c]$, where $n$ is square-free.