American Journal of Mathematical and Computational Sciences  
Manuscript Information
 
 
Efficient Simple Tests for Primality
American Journal of Mathematical and Computational Sciences
Vol.1 , No. 2, Publication Date: Sep. 24, 2016, Page: 79-88
2617 Views Since September 24, 2016, 684 Downloads Since Sep. 24, 2016
 
 
Authors
 
[1]    

Fayez Fok Al Adeh, President of the Syrian Cosmological Society, Damascus, Syria.

 
Abstract
 

The tests form ageneral method to decide whether a given positive odd integer is composite or prime. The tests are based on the divisibility properties of the sum of two squared positive integers. The algorithms comprising the tests are polynomial- time algorithms.


Keywords
 

Algorithm, Composite, Generating Function, Greatest Common Divisor, Prime, Quotient, Remainder, Solving Polynomial Equation, Square


Reference
 
[01]    

Aigner, Martin; Ziegler, Gunter M. (2002) "Proofs from The Book", New York; Springer – Verlag.

[02]    

Ribenboim, Paulo (1988) "The Book of Prime Number Records", New York; Sprintger.

[03]    

Wilf, Herbert S. (1994) "Generatingfunctionology", London; Academic Press.

[04]    

Dickson, Leonard Eugene (1922) “First Course in The Theory of Equations”, New York; John Wiley.

[05]    

Schroeder, M. R. (1986) "Number Theory in Science and Communication", New York; Springer – Verlag.

[06]    

Rader, Robert J. (1978) "Advanced Software Design Techniques", Princeton; Petrocelli Books, Inc.

[07]    

Koblitz, Neal (1987) "A Course in Number Theory and Cryptography", New York; Springer – Verlag.

[08]    

Guy, Richard K. (1994) "Unsolved Problems in Number Theory", New York; Springer – Verlag.

[09]    

Govindarajan, Sathish; Maheshwan, Anil, Editors, (2016) "Alogorithms and Discrete Applied Mathematics", New York; Springer – Verlag.

[10]    

Moreno, Carlos J.; Wagstaff, Samuel S. Jr. (2005), "Sums of Squares of Integers", CRC Press.





 
  Join Us
 
  Join as Reviewer
 
  Join Editorial Board
 
share:
 
 
Submission
 
 
Membership