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arXiv · 0803.0420

A Conjecture about the Density of Prime Numbers

L. A. Amarante Ribeiro
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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.

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L. A. Amarante Ribeiro. 2008-03-04. A Conjecture about the Density of Prime Numbers. https://arxiv.org/abs/0803.0420

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