IDEAS home Printed from https://ideas.repec.org/h/ito/pchaps/304041.html
   My bibliography  Save this book chapter

On the Analytical Properties of Prime Numbers

In: Numerical Simulation - Advanced Techniques for Science and Engineering

Author

Listed:
  • Shazali Abdalla Fadul

Abstract

In this work we have studied the prime numbers in the model P=am+1,m,a>1?N. and the number in the form q=mam+bm+1in particular, we provided tests for hem. This is considered a generalization of the work José María Grau and Antonio M. Oller-marcén prove that if Cma=mam+1 is a generalized Cullen number then mam?-1amodCma. In a second paper published in 2014, they also presented a test for Broth's numbers in Form kpn+1 where k 1?Nand p=qa+1where qis primeoddare special cases of the number mam+bm+1when btakes a specific value. For example, we proved if p=qa+1where q is odd prime and a>1?N where ?j=1qqjthen ?j=1q-2?j-Cmaq-j-1q-am??mq-ammodp Components of proof Binomial theorem Fermat's Litter Theorem Elementary algebra.

Suggested Citation

  • Shazali Abdalla Fadul, 2023. "On the Analytical Properties of Prime Numbers," Chapters, in: Ali Soofastaei (ed.), Numerical Simulation - Advanced Techniques for Science and Engineering, IntechOpen.
    • Handle: RePEc:ito:pchaps:304041
    DOI: 10.5772/intechopen.109365
    as

    Download full text from publisher

    File URL: https://www.intechopen.com/chapters/87471
    Download Restriction: no
    File URL: https://libkey.io/10.5772/intechopen.109365?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Keywords

    broth numbers; Cullen number; polynomial; Fermat number; Mersinne numbers;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ito:pchaps:304041. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Slobodan Momcilovic (email available below). General contact details of provider: http://www.intechopen.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.