### Can I have your prime number?

Posted:

**Tue Jan 27, 2009 5:12 am UTC**Why are prime numbers important, and what repercussions would there be if the Riemann hypothesis could be proven? Why should the distribution of prime numbers affect anything at all -- especially chaos theory? Why should we even care which numbers are “prime” anyway?

Pi(x) ~ x/ln(x)

After reading a bit on the distribution of primes, I was wondering if the percentage of error associated with this function tends to 0 as x tends to infinity? The three books I have on the matter fail to mention this. They mention a few percentages of error for a few x values and fail to mention anything more.

Pi(x) ~ x/ln(x)

After reading a bit on the distribution of primes, I was wondering if the percentage of error associated with this function tends to 0 as x tends to infinity? The three books I have on the matter fail to mention this. They mention a few percentages of error for a few x values and fail to mention anything more.