Monday, May 20, 2019

The PNT

Number theory does have an accepted formula for the
number of primes up to or equal to - noted pi(x) - a certain
number. It was first guessed at by Gauss (at 16) and worked
on by Riemann and Chebechev, to be finally proven by
Hadamard and Vallée Poussin independently in 1896.

Here it is:


Ignoring 2 and 3, we can have fun using x/ln(x)!

For up to or equal to 100, we get:


Not bad; there are 25 and we predicted 22...

One could also look at for 150 minus for 100...

It's a play day!

https://de.wikipedia.org/wiki/Primzahlsatz

http://www-history.mcs.st-and.ac.uk/Biographies/Chebyshev.html

No comments: