Number Theory

    

The Number of Primes

Authors: Pal Doroszlai, Horacio Keller

The prime-number-formula at any distance from the origin has a systematic error, proportional to the square of the number of primes up to the square root of the distance. The proposed completion in the present paper eliminates by a quickly converging recursive formula the systematic error. The remaining error is reduced to a symmetric dispersion, with standard deviation proportional to the number of primes at the square root of the distance.

Comments: 10 Pages.

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Submission history

[v1] 2021-11-03 05:14:38

Unique-IP document downloads: 124 times

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