|Re: One more slice of PI|
Message #4 Posted by Valentin Albillo on 26 Nov 2004, 8:54 a.m.,
in response to message #3 by Larry Corrado
"I don't think I've ever heard of a program that lets you find 6-digits of pi starting anywhere without finding earlier digits."
Have a look at this
The caveat is, it only works for hexadecimal digits of Pi.
No such formulae are known or believed to exist for base-10 digits, though they actually exist for some transcendental constants, such as log(9/10), where the corresponding formula has been used recently to compute its ten billionth decimal digit (US 'billions', i.e., 10^9).
This also applies to other bases and constants, such as base 2, for which you can compute individual digits of
log(n), for n=2,3,5,7,11,13,17,19,29,31,37,41,43,61,73,...
...,18837001, 22366891, ...
Alas, no such luck for base-10 and Pi.
Best regards from V.