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BBP-numbers and normality



It is widely believed that several fundamental mathematical constants, like pi, e, log 2 and so on, are normal, that is, the digits exhibit a certain randomness. It is known that almost all numbers must be normal, yet no proof of this has ever been given for any naturally occurring numbers. A certain class of numbers will be introduced that have the property that in some base, each individual digit can be accurately computed. It is shown how this can be done with an efficient algorithm. Also, under some hypothesis, these numbers are provably normal. The investigation of these numbers appears to yield new types of problems along the way.

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