The greatest prime function of real variable

  • Authors

    • Maher Qarawani Alquds Open University
    2015-05-30
    https://doi.org/10.14419/gjma.v3i2.4655
  • Greatest Prime Function, Gap Function, Inequalities.

  • 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.

    Author Biography

    • Maher Qarawani, Alquds Open University
      Associate professor at department of mathematics

  • References

    1. [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).

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  • How to Cite

    Qarawani, M. (2015). The greatest prime function of real variable. Global Journal of Mathematical Analysis, 3(2), 89-96. https://doi.org/10.14419/gjma.v3i2.4655

    Received date: 2015-04-21

    Accepted date: 2015-05-18

    Published date: 2015-05-30