On Mon, 2006-01-30 at 22:06, Artur wrote:
> All of these three are prime I'm looking for position these among set of all 
> prime
> 1(0),3(2),7(4),23(9),etc
> 9007199254806679(?)
> (73795983494093013143 (?),
>  205688069665150755269371147819668813122842057000180977011589271(?)

I suggest that you should write a program to calculate pi(x), the number
of primes less than equal to x.

There are many good references available to help you get started,
including Crandall&Pomerance or Riesel.  A web search will find
information about these and much other useful stuff behind.

I make this suggestion because implementing the program will be
educational and because you have an incentive to complete it.  You
should be able to find the value for the first two of your primes
without any great difficulty.   You will very probably not be able to
find the value for the third, as it is far larger than anyone has been
able to calculate in the past.

Just by consulting a table in Riesel, I can tell you that
9007199254806679 is about the 250,000,000,000,000th prime.


Paul


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