# Composite numbers

• October 12th 2010, 08:29 PM
nurdynik
Composite numbers
For n > 2, show that all of the numbers

n! + 2, n! + 3,......., n! + n

are composite numbers.
• October 12th 2010, 08:39 PM
tonio
Quote:

Originally Posted by nurdynik
For n > 2, show that all of the numbers

n! + 2, n! + 3,......., n! + n

are composite numbers.

If $k\leq n\,,\,\,then\,\,n!+k=1\cdot 2\cdot \ldots\cdot k\cdot\ldots\cdot n+k$ is divisible by k...

Tonio