Number Theory

   

An Alternate Proof of the Prime Number Theorem

Authors: Robert C. Hall

An attempt is made to derive the probability density function of the sum of prime numbers, which is x/Ln(x). This does appear to be quite accurate in predicting the sum of prime numbers less than 100,000( within 0.124%). Given this assertion, an attempt is made to derive the probability density function of the distribution of the prime numbers themselves.

Comments: 2 Pages.

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Submission history

[v1] 2017-10-03 16:37:46

Unique-IP document downloads: 18 times

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