Characterization of the Distribution of Twin Primes

Details Characterization of the Distribution of Twin Primes Characterization of the Distribution of Twin Primes

2001-03-28

arxiv.org/abs/math/0103191v1

Mathematics

Number Theory

8 pages, 4 figures, Latex

Scientific paper

We adopt an empirical approach to the characterization of the distribution of twin primes within the set of primes, rather than in the set of all natural numbers. The occurrences of twin primes in any finite sequence of primes are like fixed probability random events. As the sequence of primes grows, the probability decreases as the reciprocal of the count of primes to that point. The manner of the decrease is consistent with the Hardy--Littlewood Conjecture, the Prime Number Theorem, and the Twin Prime Conjecture. Furthermore, our probabilistic model, is simply parameterized. We discuss a simple test which indicates the consistency of the model extrapolated outside of the range in which it was constructed.

Affiliated with

Also associated with

No associations

Rating

Characterization of the Distribution of Twin Primes 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 Characterization of the Distribution of Twin Primes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characterization of the Distribution of Twin Primes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-659987