On the Prime Numbers in the Interval [4n,5n]

Abstract

Is it true that for all $n\ge k\ge 2$ there exists a prime number between $kn$ and $(k+1)n$? In this paper we show that there is always a prime number between $4n$ and $5n$ for all $n>2$. We also show there are at least seven prime numbers between $n$ and $5n$ for all $n>5$.

10 pages

References in corpus (1)

• On the Primes in the Interval [3n, 4n]