The Distribution of Prime Numbers and Finding the Factor of Composite Numbers without Searching

DOI: 10.4236/apm.2015.56033   PDF   HTML     2,318 Downloads   3,049 Views  

Abstract

In this paper, there are 5 sections of tables represented by 5 linear sequence functions. There are two one-variable sequence functions that they are able to represent all prime numbers. The first one helps the last one to produce another three two-variable linear sequence functions. With the help of these three two-variable sequence functions, the last one, one-variable sequence function, is able to set apart all prime numbers from composite numbers. The formula shows that there are infinitely many prime numbers by applying limit to infinity. The three two-variable sequence functions help us to find the factor of all composite numbers.

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Jenber, D. (2015) The Distribution of Prime Numbers and Finding the Factor of Composite Numbers without Searching. Advances in Pure Mathematics, 5, 338-352. doi: 10.4236/apm.2015.56033.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] (2015) http://en.wikipedia.org/wiki/Prime_number
[2] Posametier, A.S. (2003) Math Wonders to inspire Teachers and Students.
[3] Crandall, R. and Pomerance, C.B. (2005) Prime numbers: A Computational Perspective. 21.

  
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