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spayn [35]
4 years ago
9

How many primes occur between 0 and 230,948,202? (Note: the answer is the number of primes, not the primes themselves!) Answer C

heck
Mathematics
1 answer:
daser333 [38]4 years ago
4 0

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 x, the number of primes in this interval can be approximated by the following formula.

\pi(x) = \frac{x}{log x}

So

How many primes occur between 0 and 230,948,202?

This is approximately \pi(230,948,202)

So

\pi(230,948,202) = \frac{230,948,202}{\log{230,948,202}} = 27,613,774

There are approximately 27,613,774 primes between 0 and 230,948,202

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