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#1 2007-03-06 18:42:38

Jerry
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Math Help

What is 9000 factoral?

Is there a button to do this on your calculator? eek

#2 2007-03-06 20:30:37

Devantè
Real Member
Registered: 2006-07-14
Posts: 6,400

Re: Math Help

Clue: There is a famous James-Stirling formula if you want to find out the number of digits it has...

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#3 2007-03-07 01:29:17

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

Re: Math Help

A good computer probably wouldn't actually take too long to find the exact value of that, the problem is how it would display it to you.

9000! contains approximately 30000 digits.


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#4 2007-03-07 04:40:45

Sekky
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Registered: 2007-01-12
Posts: 181

Re: Math Help

mathsyperson wrote:

A good computer probably wouldn't actually take too long to find the exact value of that, the problem is how it would display it to you.

9000! contains approximately 30000 digits.

and I bet like half of them are zeros

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#5 2007-03-07 04:45:21

luca-deltodesco
Member
Registered: 2006-05-05
Posts: 1,470

Re: Math Help

theres a formula to work out approximately how many zeros there are, i cant remember it mind


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#6 2007-03-07 05:53:50

lightning
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Registered: 2007-02-26
Posts: 2,060

Re: Math Help

lol


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#7 2007-03-07 06:19:23

Jerry
Guest

Re: Math Help

Ah, thanks guys. The problem for math simplified to 9000! Wasn't sure if I should solve it further or not.dunno

#8 2007-03-07 07:08:31

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

Re: Math Help

luca-deltodesco wrote:

theres a formula to work out approximately how many zeros there are, i cant remember it mind

I would guess that n! has very slightly less than n/4 zeroes.

Edit: Zeroes at the end, that is. There will be more scattered around the "interesting" part as well.


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#9 2007-03-07 16:13:38

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Re: Math Help

For any nonzero integer n and prime number p, we define

as the greatest integer r such that
divides n.

For every positive integer n and prime p


Example : 10!





therefore


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#10 2007-03-07 16:14:43

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Re: Math Help

The following formula comes from Graduate Text ,Elementary Number Theory by Melvyn B.Nathanson


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#11 2007-03-07 20:26:30

lightning
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Registered: 2007-02-26
Posts: 2,060

Re: Math Help

cool up


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#12 2007-03-07 22:40:00

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

Re: Math Help

While that makes small factorials look a bit nicer, I'm not sure how it would help out with 9000!.
You'd need a term for every prime between 1 and 9000, and there's probably around two thousand-ish of those so the expression would be a complete nightmare to write.


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#13 2007-03-08 06:14:52

lightning
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Registered: 2007-02-26
Posts: 2,060

Re: Math Help

scraches head


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#14 2007-03-08 10:18:41

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Re: Math Help

yeah, I realize that. , any more effective way?


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#15 2007-03-08 20:16:32

lightning
Real Member
Registered: 2007-02-26
Posts: 2,060

Re: Math Help

nope i don't have one try janefairfax she'll know


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