On the Analytical Properties of Prime Numbers

Shazali Abdalla Fadul

A chapter in Numerical Simulation - Advanced Techniques for Science and Engineering from IntechOpen

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.

Keywords: broth numbers; Cullen number; polynomial; Fermat number; Mersinne numbers (search for similar items in EconPapers)
JEL-codes: C60 (search for similar items in EconPapers)
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.intechopen.com/chapters/87471 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ito:pchaps:304041

DOI: 10.5772/intechopen.109365

Access Statistics for this chapter

More chapters in Chapters from IntechOpen
Bibliographic data for series maintained by Slobodan Momcilovic ().