Current phasis is now for 1.e17 < x < 1.e18
Help us and contribute to the pi(x) table project.
The pi(x) table project is a distributed computation to construct a very large table of values of pi(x) for large values of x (Remember that pi(x) is defined as the number of prime numbers less than a given value x, see counting the number of primes). The project aims at offering statistical data of pi(x) for values of x not reacheable by classical sieves. As far of today, no study of this kind have been made. And why not, you could find the first known change of sign of the function pi(x)-Li(x) ! Intersecting conjectures and hypothesis related to the statistics of this computation (like the Riemann hypothesis) are described in counting the number of primes.
Results of the current phasis of the pi(x) table project : also contains current status of the project and a list of all contributors.
Counting the number of primes : a page about the history of the subject.
Computation of pi(x) : improvements to the Meissel, Lehmer, Lagarias, Miller, Odlyzko, Deléglise and Rivat method : a preprint describing the algorithm used to compute pi(x) in the pi(x) project.
The pi(x) project mailing list . Be informed of the lastest news on pi(x) computation project (results and new computation) : send a message to xgourdon@yahoo.fr .
The pi(x) project. This project, aiming at computing the world record of pi(x), is stopped for the moment.
numbers, constants and computation