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

Published 12 Sep 2025 in math.HO | (2509.19324v1)

Abstract: In this brief article, we present the formula created by Rafael Barrett in 1903 in a note to Henri Poincar\'e, which remained unknown for decades. Once discovered in the 1930s by an Uruguayan mathematician, this formula was disseminated and analyzed in a journal published in Montevideo in 1935. In this study, we present Barrett's formula and discuss some of its challenges it may pose.

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Authors (1)

  1. Eduardo Mizraji 

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