Dividing both sides by n, I get that (n-1)! | n^(n-1) => (n-1) | n^(n-1) but I'm stuck as to where to go next. Any help would be appreciated.

Printable View

- Apr 11th 2013, 02:22 AMRusselsTeapotProve that n! does not divide n^n for n>2
Dividing both sides by n, I get that (n-1)! | n^(n-1) => (n-1) | n^(n-1) but I'm stuck as to where to go next. Any help would be appreciated.

- Apr 11th 2013, 04:51 AMRusselsTeapotRe: Prove that n! does not divide n^n for n>2Quote:

Originally Posted by**topsquark**