Approximations to the Distribution of Primes

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The function , the prime-counting function, gives the number of primes less than or equal to . The plots shown are of the differences between and the approximations to due to Gauss, Legendre, and Riemann.

Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

These are the approximations:

Gauss (integral logarithm)

,

Legendre

and Riemann



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send