The strange story of an almost unknown prime number counter: The Rafael Barrett formula

Fuente: arXiv
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Autore principale: Mizraji, Eduardo
Natura: Preprint
Pubblicazione: 2025
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author Mizraji, Eduardo
author_facet Mizraji, Eduardo
contents In this brief article, we present the formula created by Rafael Barrett in 1903 in a note to Henri Poincaré, which remained unknown for decades. Discovered in the 1930s by a Uruguayan mathematician, this formula was published and analyzed in a journal published in Montevideo in 1935. In this study, we present Barrett's formula and analyze a challenge it could pose.
format Preprint
id arxiv_https___arxiv_org_abs_2509_19324
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The strange story of an almost unknown prime number counter: The Rafael Barrett formula
Mizraji, Eduardo
History and Overview
00-01
In this brief article, we present the formula created by Rafael Barrett in 1903 in a note to Henri Poincaré, which remained unknown for decades. Discovered in the 1930s by a Uruguayan mathematician, this formula was published and analyzed in a journal published in Montevideo in 1935. In this study, we present Barrett's formula and analyze a challenge it could pose.
title The strange story of an almost unknown prime number counter: The Rafael Barrett formula
topic History and Overview
00-01
url https://arxiv.org/abs/2509.19324