Yes, the problem is for whether 1 is allowed or not -- do you infringe if integer includes 1?
The point of the article is to show how words--even words with very well understood meanings--are often not clear. This is a problem for someone who reads this patent. How can they be sure whether what they do is in or out side of reach of the patent claims?
The patent owner, if they intended to only claim {n>=2 |n e N}, could have easily and precisely done so. It is problematic that it is not until expensive litigation and thousands of lawyer hours will we know whether n>=1 or n>=2 or even something else or nothing at all.