Editing Harmonic mean (section)

====Prime number theory====
The [[prime number theorem]] states that the number of [[Prime number|primes]] less than or equal to <math>n</math> is [[Asymptotic analysis|asymptotically equal]] to the harmonic mean of the first <math>n</math> [[Natural number|natural numbers]].<ref name="Deveci2022DoubleSeries">{{cite arXiv
|last=Deveci
|first=Sinan
|title=On a Double Series Representation of the Natural Logarithm, the Asymptotic Behavior of Hölder Means, and an Elementary Estimate for the Prime Counting Function
|year=2022
|eprint=2211.10751
|class=math.NT
|page=2
}}</ref>