This reminds me of a question that a university lecturer of mine asked.. "Tell me the biggest number you can think of" Just try it. :) It's actually not that

This reminds me of a question that a university lecturer of mine asked.. "Tell me the biggest number you can think of" Just try it. :) It's actually not that easy, since there are always more numbers that are bigger. The challenge is around describing these large numbers using the minimum amount of information possible. He went on to talk about the 'Busy Beaver' problem which is all about turing machines and all kinds of interesting stuff. Has anyone here studied Busy Beavers before?