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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.

Please answer to my email address : [snip]

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 wink

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
Administrator
Registered: 2005-01-21
Posts: 7,711

Re: 4; 6; 8 and 9

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

MathsIsFun
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Registered: 2005-01-21
Posts: 7,711

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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
Administrator
Registered: 2005-01-21
Posts: 7,711

Re: 4; 6; 8 and 9

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: 4; 6; 8 and 9

thank%20you.gif


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

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! big_smile

(-> is chained arrow notation of John Conway)


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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