The Prime Number Theorem, Mersenne Primes, the Log Integral Function, and Riemann’s R(x) Function
Chebyshev's second function, the Mbius function, and Mersenne primes are used to derive a function that estimates the number of primes less than a given amount.This function is compared to the log integral function and Riemann's R(x) function.
Authors
- Darrell Cox (ORCID: https://orcid.org/0000-0001-8075-5398)
Institutions
- Grayson College (US)
Publication Details
- Journal
- Global Journal of Pure and Applied Mathematics
- Published
- 2025-03-20
- DOI
- https://doi.org/10.37622/gjpam/21.1.2025.95-124
- Primary Topic
- History and Theory of Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00