Re: Calculating Any Decimal Place in Pi?



Jean-Claude Arbaut wrote:

It will. Slower than usual BBP, but it will. Impressive !


On 20/06/2005 11:37, W. Dale Hall wrote:


W. Watson wrote:

I thought I heard not too many months ago that there was some way to
calculate some given decimal place in pi quickly. That doesn't seem
right, but maybe.

Check out Simon Plouffe's web page:

http://www.cecm.sfu.ca/~plouffe/

from which you can find these papers:

http://www.lacim.uqam.ca/%7Eplouffe/articles/BaileyBorweinPlouffe.pdf

http://www.lacim.uqam.ca/%7Eplouffe/Simon/articlepi.html

The first describes the Bailey-Borwein-Plouffe algorithm, and applies
it to computation of the 10^10th (decimal) digit of pi; the second is
described in the parent page as

"Algorithm for the n'th decimal digit of Pi"

in the link to the paper. I haven't worked through either paper, but
on first glance it seems to suggest that it will do what you are looking
for.

Dale.


I may have the name wrong, but I think it's Daniel T(ammet). The Science Channel (DirecTV) had a program about him called "Super Intellectuals". He's quite impressive and recited pi to something like 20K decimal places. He could have easily gone on. I think the record holder is 30K. Is it reasonable to think that he might have used one of these techniques, or would some other method work better? That is, one that generates the numbers in sequence. Daniel T, as he was referred to, speaks 7 languages and learned Icelandic in a week for the program! His speaking knowledge of the language was tested in an interview on Icelandic TV.
.




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