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#1 2013-02-06 16:57:07

Leroy
Guest

Nth digit of pi

I've heard that there is a function that gives nth digit of pi,is it true?if it is i'd like to know more about it.

#2 2013-02-06 20:54:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,248

Re: Nth digit of pi

Hi;

Yes, it is called a spigot algorithm. It can zero in on the nth digit without having to get all the preceding ones


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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#3 2013-02-07 00:45:39

Leroy
Guest

Re: Nth digit of pi

Could you please tell me more about it

#4 2013-02-07 00:52:26

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,248

Re: Nth digit of pi

Hi;

Here is an example of a spigot algorithm being used to get the 50 th digit from ln(2). Process is the same for pi.

http://www.mathisfunforum.com/viewtopic … 19#p229919

To see how pi is done check out the BBP formula right here.

http://en.wikipedia.org/wiki/Bailey-Bor … fe_formula


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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#5 2013-02-07 02:28:08

Leroy
Guest

Re: Nth digit of pi

Thanks

#6 2013-02-07 03:13:04

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,248

Re: Nth digit of pi

Hi;

Your welcome.


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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#7 2013-02-07 04:11:28

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,544

Re: Nth digit of pi

Hi bobbym

Is there a way of getting the nth decimal digit of pi by a spigot algorithm?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#8 2013-02-07 11:52:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,248

Re: Nth digit of pi

Hi;

None that I know of, the BBP is for hexadecimal digits.


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.

Offline

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