There's a similar game in which you ask "what is the smallest positive integer that doesn't have a dedicated Wikipedia page?"
And then you can ask what happens when that number gets its own Wikipedia page...
And then you can ask what happens when that number gets its own Wikipedia page...
But if you created the page for N, that was its only feature of notability. If you create a page for N+1, N is now no longer notable. But that means also means that N+1's page is both inaccurate and not notable, and so it must be deleted. N is now once again the smallest number without a wikipedia page.
So rather than creating an infinitely increasing set of pages, I think you end up toggling forever between N and N+1