On the random nature of (prime) number distribution

Mathematics – Number Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

Let pi(x) denote the number of primes smaller or equal to x. We compare sqrt{pi}(x) with sqrt{R}(x) and sqrt{li}(x), where R(x) and li(x) are the Riemann function and the logarithmic integral, respectively. We show a regularity in the distribution of the natural numbers in terms of a phase related to sqrt{pi}-sqrt{R} and indicate how li(x) can cross pi(x) for the first time.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

On the random nature of (prime) number distribution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the random nature of (prime) number distribution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the random nature of (prime) number distribution will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-92736

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.