A Conjecture about the Density of Prime Numbers
General Mathematics
2008-03-05 v1
Abstract
We present in this work a heuristic expression for the density of prime numbers. Our expression leads to results which possesses approximately the same precision of the Riemann's function in the domain that goes from 2 to 1010 at least. Instead of using a constant as was done by Legendre and others in the formula of Gauss, we try to adjust the data through a function. This function has the remarkable property: its points of discontinuity are the prime numbers.
Cite
@article{arxiv.0803.0420,
title = {A Conjecture about the Density of Prime Numbers},
author = {L. A. Amarante Ribeiro},
journal= {arXiv preprint arXiv:0803.0420},
year = {2008}
}