Sunday, May 27, 2007

Fraction of Primes 2

The fit for the fraction of numbers that are primes posted a week ago can be modified to approximate a known result by using ln(n) instead of log10(n) and rearranging terms somewhat to get,


The empirical fit gives the power of ln(n) as slightly more negative than -1. For more information see the Wikipedia article on the prime counting function.

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