ok, the other lame-ass brute-force long-term percentage-playing solution: buy mad badwidth, create tons of whitelisted twitter usernames, and continually send tweets with a url to a tweet id that hasn't occurred yet.
for instance, every tweet contains a url for tweet id 3149892792 (2000 more than the current most recent tweet on the public timeline at the time of this comment). once the system creates a tweet that overshoots the desired id, a new goal id is selected.
eventually, you'll get the right answer, especially if you can tweet a good percentage of tweets for a particular period of time.