[math-fun] exp(Pi)- Pi and then ?
5 Dec
2015
5 Dec
'15
10:13 a.m.
Hello funsters, as you may know, there is one funny approximation of 20 with exp(Pi) - Pi = 19.999099979... but are there others the same ? maybe, by using high speed guessing and some tables, 3 - (5*Pi)/6 - 6/(5*Pi) = 0 (the error is 1/29189). 2*Pi/5 + exp(-2*Pi/5) - 5/3*Pi -log(4*Pi/5) - i*Pi = 22/7 (absolute value) with 12 digits of precision. (use fixed fonts) : Pi 8 Pi Pi ---- + exp(- ----) + ln(----) + exp(Pi) + Pi I 3 5 2 = 24 + 93/110 , 11 digits precision. that is : 1/3*Pi+exp(-8/5*Pi)+ln(1/2*Pi)+exp(Pi)+I*Pi, absolute value. any patterns ? aby clue ? have a nice day, Simon Plouffe
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Simon Plouffe