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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,383

Hi;

Yes, you are.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Dets65****Member**- Registered: 2013-05-15
- Posts: 7

OK then ; Graham's number Factorial (Couldn't use !, look like an exclamation.)

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,383

I think you are trying to beat the current champ post #71. Which looks like an Ackermann function.

Your number does not even touch it.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Dets65****Member**- Registered: 2013-05-15
- Posts: 7

Ok then, Graham's number ^ graham's number Graham's number ^ graham's number times

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,383

Nope, Ackermann's Function with Graham numbers is bigger than any tower power.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Dets65****Member**- Registered: 2013-05-15
- Posts: 7

Have we reached the limit???????

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,383

Nope, we could very unimaginatively say +1 as long as we like.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**Dets65****Member**- Registered: 2013-05-15
- Posts: 7

I know, but we can't really name anything now except for Graham's number (and that's been taken for a long time)

and power towers don't even work. Would exponents or something (don't really matter how complex it is) work? (And I agree, I don't want to just add 1 infinite times.)

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,383

A power tower is a bunch of exponents.As far as I. know the Ackermann function is the biggest.

For instance for the 3rd Ackermann number we have.

And that is only the third one.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**mathgogocart****Member**- Registered: 2012-04-29
- Posts: 1,426

90000000000000000000000000000000000000000000^1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

P.S.Yeah

Hey.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,383

Oooh, that is a teeny, tiny one. But maybe it will grow if we water it.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**mathgogocart****Member**- Registered: 2012-04-29
- Posts: 1,426

bobbym wrote:

Oooh, that is a teeny, tiny one. But maybe it will grow if we water it.

Yes,it will grow so big that it is bigger than the universe.

Hey.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,383

Yes it is bigger than the universe but it is teeny, tiny and teensy next to the Ackermann Function.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**mathgogocart****Member**- Registered: 2012-04-29
- Posts: 1,426

sadly,the Ackermann Function ate my number!!

P.S.what is the ackermann function,simply

?

Hey.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 85,383

Hi mathgogocart;

The simplest is

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**philandy****Member**- Registered: 2013-06-10
- Posts: 11

I'll bite and hope I lose! Okay, first all my variables will be 999e999 or 999*10^999. Graham's number is actually a function so I think we should build them ourselves rather than relying on others to do it.

Hyperoperation a for a and a (wiki has a good article).

*Last edited by philandy (2013-06-11 05:22:48)*

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