Much faster with a larger number...lmfao. Thanks for giving a good example to put things into perspective.
Lets take these numbers down to a more explainable size. Lets say it takes a year to crack a 100 digit number, and the Xbox RSA number is 1000 digits in size.
Now, in order to crack that 100 digit number you had to test out possible keys, taking alot of work thats pretty much hit-or-miss, meaning you can't learn from failed key attempts. You gotta keep winging it until you eventually get the right key.
What would this mean with a 1000 digit number?
Well, all a 1000 digit number is in a way is 100 multiplied by 10. In other words, that one extra place value increases the amount of numbers that needs to be cracked by ten times!
I don't know the exact mathematical equasion, but I know the Xbox private key is about 300 digits in length. If you could crack a 200 digit key in two years, it would take 100 times as long to crack the 300 digit key.
Or, about 20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 years.
Something tells me MS won't even be around that long, probably not even life as we know it.
But you can get the key. Download the Operation Project X clients and run them. There's no stats server, but it will crack keys. It picks keys for testing completely randomly so who knows you might get it, although it is alot more likely that you'll win the lottery 7,000 times simultaneously.
Edit: I think this is fairly accurate, but only to my knowledge. Anyone who knows alot about encryption well, either post the real figures just to correct me or go to hell.