nLab
prime number theorem

Idea

What is known as the prime number theorem is a description of the asymptotic distribution of prime numbers. It says that the number of primes less than a positive real number xx is asymptotic to x/log(x)x/\log(x), where logx\log x is the natural logarithm.

Proof

See proof of the prime number theorem, which is based on a well-known account by Don Zagier (who in turn was explicating a short proof due to Donald J. Newman) – see the references there.

References

Last revised on March 30, 2018 at 19:53:21. See the history of this page for a list of all contributions to it.