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**Summary::**This is a thread about notating a larger number than the previous poster. That's it.

Well, there's a few more rules.

1) You don't have to actually write it down. You just have to appropriately describe it.

2) Your description must correspond to one and only one

**natural**number.

3) You can only use established mathematical notation to describe the number and notation ONLY, no natural language (except for explaining what your notation means) and definitely no silly stuff like "the largest number anyone comes up with here +1".

4) You should prove that your number exists, is a natural number, and is larger than the previous one. For some really large numbers, it may be very difficult to figure out which is larger. You can just nominate your number and the rest of us will try to figure out if it really is bigger than the previous one.

If this thread ends up being long (and I hope it does) we could declare winners of the week, or winners of the month, or winners of the first x number of posts or something like that. A winner should be someone who provided a larger number that was larger IN AN INTERESTING WAY. Now that is pretty subjective, but some examples of numbers that weren't larger in an interesting way would be (previous number)+1 or (previous number)*10. Such entries are allowed but are better avoided. Another number which wouldn't be larger in a very interesting way (but would still be allowed) would be doing exactly what the precious poster did, but once more. For instance, if I post the number 10^10 and you post the number 10^10^10, that's not particularly interesting because it's just what I did, again. Nothing wrong with that, it's just not gonna win a prize.

One last thing: If you already know a number that would vanquish most competition, maybe wait a bit before posting it so that people have the chance to think a little bit and find interesting new big numbers, and you could try to find new interesting ways to write down big numbers even if they are smaller than the one you are already aware of.

I'll start: 1