Number Theory

    

A Revised Prime Number Counting Function

Authors: Zhi Li, Hua Li

It has been human's dream for thousands of years to find the ideal prime number counting function and prime number universal formula. For the number of prime numbers smaller than the given order of magnitude,the calculation deviation of the prime number theorem function x/ln (x) isrelatively large. However, the calculation with Riemann formula R (x) function is too complex, and it deviates from the true value as GaussianLi (x) function when the given order of magnitude is very large. Now the prime number theorem function x/ln (x) is dynamically modified andfurther optimized by using the calculation formula of Mersenne's prime number, and a simple, easy and relatively accurate calculation formula is found.

Comments: 12 Pages.

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Submission history

[v1] 2023-01-20 16:03:55
[v2] 2023-01-27 13:36:08

Unique-IP document downloads: 567 times

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