Primes harmonic

Autor:

Marek Wolf

Credit:

https://arxiv.org/abs/1102.0481

Krótki link:

https://www.plwiki.pl/b/dcabd

źródło:

Wikimedia Commons

Wymiary:

3037 x 2408 Pixel (64144 Bytes)

Opis:

The plot of the prime harmonic sum up to ${\displaystyle n=2^{15},2^{16},\ldots ,2^{46}=7.04\times 10^{13}}$ and the Merten's approximation to it. The original of this figure has

${\displaystyle y}$ axis of the length 8 cm and spans the interval (2.5, 3.8), so if the ${\displaystyle n}$ axis would be plotted in the linear scale instead of logarithmic, then it should be

${\displaystyle 5.33(3)\times 10^{9}}$ km long --- that is the size of the Solar System.

Licencja:

Public domain