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arXiv · 2008.03608

A heuristic study of prime number distribution

Carlos Ros Pérez
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Abstract

This work consists of a heuristic study on the distribution of prime numbers in short intervals. We have modelled the occurrence of prime numbers such intervals as a counting experiment. As a result, we have provided an experimental validation and an extension of the Montgomery and Soundararajan conjecture. This is a reduced version of my bachelor`s thesis presented at the University of Valencia.

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Carlos Ros Pérez. 2020-08-08. A heuristic study of prime number distribution. https://arxiv.org/abs/2008.03608

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