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My understanding is Twitter has basically stopped approving whitelistings. Unless you are in the 1% that has a genuine need they won't give it to you. Have you looked into using the Streaming API? http://dev.twitter.com/pages/streaming_api

The likelihood of rejection might not be as dire as I previously stated but you can judge for yourself:

http://groups.google.com/group/twitter-development-talk/msg/...

I do in fact use the streaming api but that doesn't help with things I need, such as getting screen names based on a twitter id, and getting lists of followers for thousands of people at a time, in order to do some graph processing.

How are you getting user_ids without having the companion screen_name? You can get some extra API calls by proxying through http://apigee.com/. You will likely just have to delay some of the processing to stay withing the rate limit.

Why did you get denied? If you don't know, ask @episod/Taylor to tell you.

You received overt rejections? So far I've just heard nothing back.