Home
Class 11
MATHS
Prove that (n !+1) is not divisible by ...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

prove that 4^(n)-1 is divisible by 3, for each natural number n.

prove that 3^(2n)-1 is divisible by 8, for all natural numbers n.

prove that n(n^(2)+5) is divisible by 6, for each natural number n.

Prove that (n!)! is divisible by (n!)^((n-1)!)

Show that 10^(2n-1)+1 is divisible by 11 for all natural numbers n.

n^(3)-n is divisible by 6, for each natural numbers n ge2

When n!+1 is divided by any natural number obtained is between 2 and n then remainder is

If n is any natural number, then 5^(2n)-1 is always divisible by how many natural numbers ?

There are _________ natural numbers between n^2 and (n + 1)^2