Math Is Fun Forum

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

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

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Leroy

Guest

Re: Nth digit of pi

Could you please tell me more about it

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

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

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Leroy

Guest

Re: Nth digit of pi

Thanks

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Nth digit of pi

Hi;

Your welcome.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Nth digit of pi

Hi bobbym

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

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“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
The knowledge of some things as a function of age is a delta function.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Nth digit of pi

Hi;

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

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.