Distribution of primes

Main Question or Discussion Point

Before I went to bed I had an idea about integers. Is there such thing as a prime number density? I just listed 1 through 50 and found that primes aren't uniformly distributed(that I noticed). Now by typical density definition the density should be the number of primes as a function of some bound over the space. Has anyone done work on this?

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Borek
Mentor
Look for prime number theorem.

matt grime
Homework Helper
Has anyone done work on this?
The margin is too small to even begin to list them.

The margin is too small to even begin to list them.
But does there exist a relationship that tells us exactly how many primes are within a certain bound?
Is there some complex pattern?

Funny you should say that I just found a remarkable proof of Fermats last theorem but my margin was too small to write it down.Now I have forgotten it.Damm.

That's exactly what I said when I sent in my paper to the Clay institute: the margin was too small but the proofs of all seven so called unsolvables are trivial--Do I get my money now?. They didn't take it to well.

alxm