If you know the number of the game you are looking for you just look at any game in the public games view and replace the number at the end of the URL with the number of the game you want to view.
I still agree with Jira's original post-- going to a public game and cutting and pasting the number in the address bar seems a very roundabout way of doing things. It's also a way that isn't intuitive-- many people won't figure out on their own that it can be done.
It would be good if there were a game number lookup integrated into the webpage itself-- to make it easier to use, and to make it clear that such a search is possible.
Another thing that would be nice would be a link to a player's public games from the "profile" window.