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      Digit Statistics of the First 22.4 Trillion Decimal Digits of Pi

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          Abstract

          The mathematical constant pi has recently been computed up to 22,459,157,718,361 decimal and 18,651,926,753,033 hexadecimal digits. As a simple check for the normality of pi, the frequencies of all sequences with length one, two and three in the base 10 and base 16 representations are extracted. All evaluated frequencies are found to be consistent with the hypothesis of pi being a normal number in these bases.

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          An Empirical Approach to the Normality of π

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            Journal
            2016-11-30
            Article
            1612.00489
            5d546dc7-7d48-4a68-b2e7-4f4125aacf69

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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            math.NT

            Number theory
            Number theory

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