Electronic Proceedings of the Twenty-second Annual International Conference on Technology in Collegiate Mathematics

Chicago, Illinois, March 11-14, 2010

Paper S038

This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Twenty-second Annual International Conference on Technology in Collegiate Mathematics, ISBN 978-0-321-74614-6, Copyright (C) 2011 by Pearson Education, Inc.


Utilizing CAS Technolgy to Explore Factoring and Primality

Jay L. Schiffman


Rowan University

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ABSTRACT

The primes encompass the atoms of the natural number system. We employ CAS technology to determine the primality of integers, and to explore Fermat's Method of Factorization and the Lucas-Lehmer Test for Mersenne Primes. In addition, we will factor some Fibonacci and Lucas numbers.

Keyword(s): number theory, computer algebra systems