On the number of prime numbers between $n^2$ and ${(n+1)}^2$

Jimin Li, Haonan Li

Let $p_{r+1}-1>n\ge p_r-1$, based on a sequence $\{1,2,3\cdots M_r(M_r=p_1{p}_2\cdots p_r)\}$, we compare the density of coprime numbers and establish a correlation between the pr…