Prime numbers distribution

[michstreet]

Hi everybody,

 

I have been playing a little with prime numbers and got this nice approximation of pn (distribution of prime numbers): Function. It uses the Feigenbaum constants (chaos theory) and a decimal logarithm.

 

This is the plotted function

 

I would like to know if there is any recognized approximation of pn.

 

Thanks in advance.

[timo]

I don´t know how widespread the symbol pn is, so perhaps you should state what it is (I neither know it, nor can I see it from your plot).

[michstreet]

Sorry, I was trying to say P(sub)n (representing the nth prime number).

Btw, I used the first million prime numbers to generate the plot.

[Curios]

Could you please elaborate a little more. What exactly do you mean by P? Is it the number of primes up to a number N?

 

That graph look very similar to the Log-factorial graph: http://en.wikipedia.org/wiki/Image:Log-factorial.PNG

[justchosen]

hey have you ever tried to calculate all the primes useing this method? take the factorial expotential representative of the number.see like the factorial of 10. see 2,3,5,7.(4=2^2,6=2*3,8=2^3,9=3^2,10=2*5.see the you add the primes as the exponent.so 2^8*3^4*5^2*7=10! see you break all the numbers down by primes and add them the exponent.leave a trial of primes see.