"Show that there for an arbitrary positive integer k there exist k consecutive integers none of which is a prime."
How would one go about doing this? It's an exercise in a book on analytic number theory that I am reading. I don't know how I should approach this. Is there a result I could use for this ? Nothing comes to my mind. I've tried for some time now and it's really bugging me that I can't figure it out. A hint or method would be appreciated, thanks.
