Prime Between \(n\) and \(n!\)
Number Theory
Level
1
Between \(3\) and \(3!\), there is \(5\), which a prime.
Between \(4\) and \(4!\), there is \(5\), which a prime.
Between \(5\) and \(5!\), there is \(7\), which is a prime.
True or False?
For every positive integer \(n \geq 3\), there is always at least one prime \(p\) with \(n<p<n!\).
by
Muhammad Rasel Parvej