The greatest prime function of real variable

 
 
 
  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract


    In this paper, we introduce a new function which we call the greatest prime function. In addition, we give an extension of the function to , and then use this definition to prove some inequalities and properties of this function. Some illustrative examples are given.


  • Keywords


    Greatest Prime Function; Gap Function; Inequalities.

  • References


      [1] P. S. Bullen, D. S., Mitrinovic and P. M. Vasic, Means and Their Inequalities, Dordrecht, Holland: D. Reidel Publishing Company, (1988). http://dx.doi.org/10.1007/978-94-017-2226-1.

      [2] R. Crandall, C. Pomerance, Prime numbers: A computational perspective, Springer, New York, (2001). http://dx.doi.org/10.1007/978-1-4684-9316-0.

      [3] P. Ribenboim, the Little Book of Bigger Primes, Second Edition, Springer-Verlag, New York, Inc (2004).

      [4] J. Sandor, "On Certain Bounds and Limits for Prime Numbers," Notes on Number Theory and Discrete Mathematics 18(1), (2012).


 

View

Download

Article ID: 4655
 
DOI: 10.14419/gjma.v3i2.4655




Copyright © 2012-2015 Science Publishing Corporation Inc. All rights reserved.