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

2025/09/12 by Mizraji, Eduardo · 5 voices
#00-01 #FOS: Mathematics #History and Overview (math.HO)

paper · doi:10.48550/arxiv.2509.19324

Abstract

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.

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