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

New Orleans, Louisiana, March 12-15, 2009

Paper W004

This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Twenty-first Annual International Conference on Technology in Collegiate Mathematics, ISBN 0-321-68983-6, Copyright (C) 2010 by Pearson Education, Inc.


Exploring Several Open Problems in Elementary Number Theory with CAS Technology

Jay L. Schiffman


Rowan University

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ABSTRACT

Elementary Number Theory furnishes a plethora of easily posed conjectures that have escaped resolution throughout the history of mathematics. In this article, we explore the role played by CAS technology to better understand these conjectures and design calculator programs in the spirit of discovering some neat mathematics.

Keyword(s): number theory, computer algebra systems, calculators