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This article discusses a random number generator with an infinite period.
One of the best random sets of digits (extensively tested for randomness by hundreds of scientists using thousands of tests both in small and high dimensions) is the decimals of Pi. Despite its random character being superior to most algorithms currently implemented (current algorithms typically use recursive congruence relations or compositions of random permutations, and exhibit periodicity), decimals of Pi have two big challenges, making it useless as a random number generator:
Here is my answer to these two challenges, and as a result, a proposal for a new random number generator, which overcome these two difficulties:
Fast formulas to compute Pi:
 The formula,
 The Chudnovsky brothers found in 1987 that
which delivers 14 digits per term.
PS: this is a reply to the following article: Classical random number generators result in identity theft, according to IEEE, see http://www.analyticbridge.com/profiles/blogs/classical-random-numbe...