Could Euler have conjectured the prime number theorem?

2017/01/16 by Simon Rubinstein-Salzedo, Rubinstein-Salzedo, Simon
Mathematics · #01A50 (secondary) #11A41 (primary) #FOS: Mathematics #History and Overview (math.HO) #Number Theory (math.NT) #math.HO #math.NT #msc:01A50 #msc:11A41

paper · pdf · doi:10.48550/arxiv.1701.04718

To appear in Mathematics Magazine

arxiv created 2017/01/16 · arxiv updated 2017/01/18

Abstract

In 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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