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clipped from en.wikipedia.org
Benford's law
Benford's law, also called the first-digit law, states that in lists of numbers from many (but not all) real-life sources of data, the leading digit is distributed in a specific, non-uniform way. According to this law, the first digit is 1 almost one third of the time, and larger digits occur as the leading digit with lower and lower frequency, to the point where 9 as a first digit occurs less than one time in twenty.
Benford's distribution

Prime Numbers and the Benford’s Law

here is the output plot showing an extremely good accuracy claimed by paper authors
http://pyevolve.sourceforge.net/wordpress/wp-content/uploads/2009/05/prime_plot.png
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