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Could Euler Have Conjectured the Prime Number Theorem?

2017/12/01 by Simon Rubinstein‐Salzedo · 1 citation
Mathematics · #Analytic Number Theory Research #History and Theory of Mathematics #Mathematics and Applications #Conjecture #Twin prime #Mathematics #Prime (order theory) #Prime number #Euler's formula #Multiplicative number theory #Prime number theorem #Euler number (physics) #Prime factor #Pure mathematics #Discrete mathematics #Combinatorics #Semi-implicit Euler method #Mathematical analysis #Backward Euler method #Euler equations

paper · doi:10.4169/math.mag.90.5.355

openalex publication_date 2017/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

SummaryIn this article, we investigate how Euler might have been led to conjecture the prime number theorem, based on what he knew. We also speculate on why he did not do so.

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