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Old 2020-09-18, 12:12   #6
Dr Sardonicus
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Feb 2017

500810 Posts

About the small sample size, me three.

Benford's law is based on the theorem that, if α is a (positive) real irrational number, the fractional parts of α, 2*α, 3*α, etc are uniformly distributed in [0,1].

If N is "large," we would expect the fractional parts of k*α, k = 1 to N, to approximate a uniform distribution in [0,1] fairly well.

I don't think you can say much about uniformity if you take 51 values of k between 2 and 82589933.

Last fiddled with by Dr Sardonicus on 2020-09-18 at 12:18 Reason: Change symbol for positive real from z to α
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