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Old 2012-05-23, 01:13   #8
CRGreathouse's Avatar
Aug 2006

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Originally Posted by henryzz View Post
Brilliant thanks. Wierdly I actually thought of something similar while going to sleep last night.
Does this sort of start a chain where pi_2(x/2) needs correcting by subtracting from it pi_1(x/4) etc.?
This would lead to pi_k(x)-pi_(k-1)(x/2)+pi_(k-2)(x/4)-pi_(k-3)(x/8) ... which you would continue until you have the necessary precision.
No, one subtraction is good enough for that problem. But for more complicated problems you might need a lot of terms, yes.
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