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Can we evaluate any single decimal digit of pi even we skip to evaluate the digit before it?

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up vote 5 down vote accepted

Yes; see for example the Wikipedia page on calculating pi, particularly the "digit extraction" section (to which I linked).

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Even the digit is in binary,it is awesome! – abcde Jul 22 '11 at 3:40
This answer should say "yes, if by 'digit' you mean bit". Note that OP asked for decimal digit and as far as I know, that's an unsolved problem... – R.. Jul 22 '11 at 5:03
@R..: If you'll see the Wikipedia page, Plouffe derived an algorithm to obtain the $n$th digit of $\pi$ in arbitrary base, subsequently improved by Bellard to work in $O(n^2)$. – Arturo Magidin Jul 22 '11 at 5:07
For searching purposes: it's the so-called spigot algorithm. – J. M. Jul 22 '11 at 15:23
@Srivatsan: The Wikipedia page includes a link to the paper by Bellard. You can check the description of the algorithm there. – Arturo Magidin Jul 22 '11 at 20:45

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