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OpenStudy (anonymous):
Estimate the number of primes les than 10000000 using the prime number theorem.
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OpenStudy (kinggeorge):
Well the prime number theorem says that there are about \[x \over \ln(x)\]primes less than x. So just plug in 10000000 for x.
OpenStudy (anonymous):
and since it's a decimal i just round down?
OpenStudy (kinggeorge):
That would probably be the best idea.
OpenStudy (anonymous):
awesome thanks :)
OpenStudy (kinggeorge):
you're welcome.
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