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(Pi) is a pretty good random number generator

27 April 2005
by Richard Conan-Davies

Purdue University mathematicians have shown that digits in the constant pi ( 3.1415...) score a rating of a 'B' when compared with commercially available random number generators (RNG). But often pi was much better than some random number generators available.

Ephraim Fischbach of Purdue Univeristy who led the computer analysis of the first 100 millions places of pi compared it with other random number generators and  explained that "Our work showed no correlations or patterns in pi's number set , in short, pi is indeed a good source of randomness,"  "However, there were times when pi's performance was outdone by the RNGs."

So how can you use pi as RNG if it is always the same number? Fischbach told ClearlyExplained.Com News that " One can also randomly skip around in the digits to create other random sequences from pi" he further explained that " one can create new random sequences as we did by combining the random digits of pi with the random digits produced by some other algorithm".

Fischbach hopes to have others use his program for analysing the randomness of pi to see if it can get a better grade than a B in how random it can get.

Pi is used in cryptography, security systems and many other sciences. Pi is the ratio of a circle's diameter to it's circumference.

Image: Pi shown up to 1000 decimal places. ClearlyExplained.Com

 

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Original News release from Purdue Univeristy
 


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