Approximations to the Distribution of Primes

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.

THINGS TO TRY

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

These are the approximations:
Gauss (integral logarithm)
,
Legendre
,
and Riemann
.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.