How you one go about doing this:

Prove that all of the following numbers are composite: 1000! + 2, 1000! + 3, 1000! + 4, ... , 1000! + 1000, 1000! + 1001, 1000! + 1002. The point of this problem is to present a long list of consecuetive numbers, all of which are composite.

Thanks in advance for any advice.