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

Chicago, Illinois, March 11-14, 2010

Paper C025

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.


The Role Played by the TI-89 CAS in Resolving Divisibility Questions

Jay L. Schiffman


Rowan University

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ABSTRACT

Tests for the divisibility of an integer by 3, 5, 7, and 11 are well known. We focus on the role played by CAS technology in resolving integer divisibility by other primes including 37, 41, 73, and 101. In addition, the CAS together with modular arithmetic are employed to secure prime divisors in the sequence 11, 101, 1001, 10001... first studied in 1854

Keyword(s): number theory, computer algebra systems, TI-89