Some interesting close approximations to Pi can be found at the following site: http://pi.lacim.uqam.ca/eng/approx_en.html ----Brian Trial --------------------------------------------------------------- Hello! What do you like this: 2^248 / 213^31 = 299 + contfract(48836;3;1;5;...) 19^64 / 14^69 = 2*2*11*13 - contfract(25641;...) 19+64=14+69 Hmm (69)..: 115^60 / 116^59 = 69 - contfract(185619;...) Juha Saukkola --------------------------------------------------------------- Ed, Inspired by your example of 25AUG2003 I've just found the following using a calculator: (10 * 13^(34/13)) ^ (1/13) = 2.000000128... (1732/225)^(7/3) = 117.000000156... Geoff Morley -------------------------------------------------------------------------- Hi Ed, I came across a close approximation the other day and immediately thought of the mathpuzzle page. I doubt it is a rare gem, but I thought I'd pass it on anyway... pi =~ 16 ArcTan[1/5] - 4 ArcTan[1/239] (correct for the first 100,000 decimal points apparently!) Kind regards, Josh Downer [Ed -- actually, it's exact. Another exact representation is 88 ArcTan[1/28] + 8 ArcTan[1/443] - 20 ArcTan[1/1393] - 40 ArcTan[1/11018]