Why would Google ban people with numbers in their domain? How we brand our business/products is totally up to us and in no way would Google start banning people wanting to have a domain for example.
Supersalespitch2000.com
or
Easyweb2point0.com
Google does not look at these domains and go "Wait a sec, it's got numbers, seems like spam to me, better ban it!" also don't tell me Google can tell between numbers making sense to random numbers within a domain as that's stating Google understands the meaning of the words in our domains... Bloody damn clever if it can!
As for proof, the reason you don't see domains on the first page of Google with random numbers at the end is most likely due to people not wanting the domain to look trashy. My main site has a number inside, ranked 2nd for a keyword which is very competitive, it's part of the iPhone niche too which is very competitive.
@Carlito
To state people claiming something have to show proof very much contradicts your self, since you too are also making claims...
No one in this thread can make claims of anything without factual proof, you have proofed nothing and can't as getting people to type in random keywords to check the first page means nothing at all.
Tell me, how many keywords in the world?
Have you checked every single term?
I doubt it, so it's impossible to know the answer unless Google actually states it will de-value domains with random generated numbers at the end of it.