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How many primes are there in a certain range of numbers? 
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#1
Jan1905, 07:26 PM

P: 42

Hi, what would be the best estimate in the # of primes between [tex]10^{100}[/tex] and [tex]10^{101} [/tex]
thanks 


#2
Jan1905, 08:00 PM

P: 535

I'm not sure if there is a newer equation, there probably is one from riemman, but Gauss had a formula for approximating the number of primes up to any number x:
[tex]Li(x)=\int_0^x\frac{dt}{log(t)}[/tex] You could compute this for 10^{100} and then for 10^{101} and subtract the first result from the second and it will give a good estimate. 


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