Answer:
There are approximately 27,613,774 primes between 0 and 230,948,202
Step-by-step explanation:
The Prime Number Theorem states that between 0 and [tex]x[/tex], the number of primes in this interval can be approximated by the following formula.
[tex]\pi(x) = \frac{x}{log x}[/tex]
So
How many primes occur between 0 and 230,948,202?
This is approximately [tex]\pi(230,948,202)[/tex]
So
[tex]\pi(230,948,202) = \frac{230,948,202}{\log{230,948,202}} = 27,613,774[/tex]
There are approximately 27,613,774 primes between 0 and 230,948,202
