Prove that `(n !+1)` is not divisible by any natural number between `2a n dndot`

Explanation

Since `n ! = n(n - 1) (n - 2) … 3*2*1,` it follows that n ! Is divisible by every natural number between 2 and n. So, (n! + 1), when divided by any natural number between 2 and n, leaves 1 as remainder .
Hence, (n! +1) is not divisible by any natural number between 2 and n .