What is the approximate number of primes between 1 and a given limit?

[jobsism]

Primes between 1 and a limit!

I just discovered something cool! I found out a method to find a close approximate to the number of primes between 1 a certain limit. If n is the limit, then number of primes is approximately equal to n/(natural log of n). For example, number of primes between 1 and 10 is 10/ln(10) = 4.34, and the actual number of primes is 4! I'm just so happy on finding out something like this! :!) Tell me what you guys think of this. Also, please tell me if it was already found out earlier.

 

[Rudy Toody]

April fool to you, too!

 

[jobsism]

?

 

[Rudy Toody]

?

http://mathworld.wolfram.com/PrimeNumberTheorem.html"

 

[SW VandeCarr]

I just discovered something cool! I found out a method to find a close approximate to the number of primes between 1 a certain limit. If n is the limit, then number of primes is approximately equal to n/(natural log of n). For example, number of primes between 1 and 10 is 10/ln(10) = 4.34, and the actual number of primes is 4! I'm just so happy on finding out something like this! :!) Tell me what you guys think of this. Also, please tell me if it was already found out earlier.

Well, if you really found it entirely on your own, it indicates innate math ability. Gauss was 15 when he found it. How old are you? I found the Sieve of Eratosthenes when I was in high school. My teacher said "What took you so long?." The world doesn't give you much credit for being the nth person to discover or invent something. But keep trying. You just might come up with something original.

 

[Robert1986]

How, exactly, did you discover this?

 

[jobsism]

So it was already found earlier by Gauss? sheesh, if only i was born earlier.. :D

How, exactly, did you discover this?

I have this habit of punching numbers into calculators, and trying things with them. It was pure coincidence that i found this one out.

How old are you? I found the Sieve of Eratosthenes when I was in high school. My teacher said "What took you so long?." The world doesn't give you much credit for being the nth person to discover or invent something. But keep trying. You just might come up with something original.

Yeah, i guess you are right. Will keep trying though. I'm 16 by the way.