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## #1 2005-12-02 15:37:34

Viny
Guest

### 4; 6; 8 and 9

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.

Thanks a million

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

## #2 2005-12-02 16:26:04

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

### Re: 4; 6; 8 and 9

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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## #3 2005-12-02 16:29:06

MathsIsFun
Registered: 2005-01-21
Posts: 7,631

### Re: 4; 6; 8 and 9

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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## #4 2005-12-02 16:30:36

MathsIsFun
Registered: 2005-01-21
Posts: 7,631

### Re: 4; 6; 8 and 9

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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## #5 2005-12-02 16:47:55

ganesh
Moderator
Registered: 2005-06-28
Posts: 21,812

### Re: 4; 6; 8 and 9

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.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #6 2005-12-02 18:01:33

MathsIsFun
Registered: 2005-01-21
Posts: 7,631

### Re: 4; 6; 8 and 9

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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## #7 2005-12-02 21:51:02

ganesh
Moderator
Registered: 2005-06-28
Posts: 21,812

### Re: 4; 6; 8 and 9

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #8 2005-12-02 21:52:07

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

### Re: 4; 6; 8 and 9

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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## #9 2005-12-02 21:56:52

ganesh
Moderator
Registered: 2005-06-28
Posts: 21,812

### Re: 4; 6; 8 and 9

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)

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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