Prime counting function
This wiki is incomplete.
For further help in starting a wiki page, check out Wiki Guidelines and Wiki Formatting or come chat with us.
Definition
Prime counting function is defined as a function which gives the number of primes before a particular number. It is denoted by .
It was conjectured in the end of the 18 century by Gauss and by Legendre to be approximately in the sense that
However, more precise estimates of prime counting function would be
where,logarithmic integral and is the big O notation
Example Question 1