- #1
toothpaste666
- 516
- 20
Homework Statement
lets say i have an int n that is greater than 2.
I know n!-1 = xk where x and k are integers I must show that x <= n leads to a contradiction
The Attempt at a Solution
i assume x = n
n!-1 =nk
(n-1)! -1/n = k
it seems to me that because of the 1/n k would not be an integer which would be a contradiction. But i am not even sure if that is true that it would not be an integer in any case. Am i going about this the right way?