Joined: May 2008
|Quote (rossum @ Jan. 01 2014,10:25)|
|Quote (Bob O'H @ Dec. 31 2013,15:44)|
|Of course Cantor would know that.|
(actually does anyone know a proof of Cantor's statement? It seems reasonable, but number theory isn't my area)
Cantor is correct. Pi gives an infinite stream of digits with no repeating pattern. Any finite string of digits will be found in Pi an infinite number of times. Of course, the longer your search string the more digits if Pi you have to calculate to find it.
I'm afraid that it isn't proven yet that pi is a normal number (though most mathematicians would bet that it is one...) At the moment we cannot say that each finite number can be found in the decimal representation of pi - but every short string of numbers (birthdates, etc.) has been found :-)