It would also be worse than useless. Think about it. The only way you could get the number is by knowing the URL. If, for whatever reason, you only have that number, add it to armorgames.com/play/ and you have the URL again. What you're suggesting is just a needlessly complex way of doing something you could more easily do yourself, and would have to have done already in order to even use it at all.
Well, the purpose of the search bar is to find games you don't know that exact details about. (insert what Fish said.)
Perhaps search options would be nice, to narrow down the results. A checklist on which category the game is in, or what year the game was released. That would be nice for users who have difficulty finding a game they played ages ago.