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**Viny****Guest**

Please help me, Someone asked me what is the BIGGEST value to put these four numbers ( 4; 6; 8; and 9 )together, use whatever math posible.

Please answer to my email address : [snip]

Thanks a million

*Last edited by MathsIsFun (2005-12-02 16:24:28)*

**Flowers4Carlos****Member**- Registered: 2005-08-25
- Posts: 106

uh oh! you are not allowed to post your email. you gotta send in your birth certificate to rod proving you are of a certain age first

and as for your query.... i guess it would be (4!)^(6!)^(8!)^(9!)

my calculator can't even handel 2^9!

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

Sorry, had to remove your address for "internet safety" reasons.

9864! (that is 9864 factorial ... 70! has about 100 digits, 9864! will possibly have tens of thouands of digits)

But that may be cheating ...

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

Haha, both with similar idea!

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,601

I think 4^^^6^^^8^^^9 is a much bigger number. You can use any number of '^' and keep increasing the number. There's no end to it.

If you are interested in knowing what x^^^y or x^^^^y is, go to this page.

Character is who you are when no one is looking.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

Ginormous numbers. Good link Ganesh.

Conclusion: we need to set a limit on the operators then, or you could just use 4^^^^^..., or even 4!!!!...

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,601

Character is who you are when no one is looking.

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

For the 4!!!!!, you'd need to use brackets to show what you meant.

4!! just means 4*2. 5!! is 5*3*1, and so on.

Double-factorials are less than their single-factorial counterparts (except with 0, 1 and 2)

MathsIsFun wrote:

But that may be cheating...

Viny did say we could use whatever math[s] possible.

I think Flowers4Carlos's version would be higher, but that's just a guess.

Why did the vector cross the road?

It wanted to be normal.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,601

mathsyperson wrote:

Viny did say we could use whatever math[s] possible.

Okay, what about 4->6->8->9? This is geater than Graham's Number!

(-> is chained arrow notation of John Conway)

Character is who you are when no one is looking.

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