Sequential Experiments with Primes

With a specific focus on the mathematical life in small undergraduate colleges, this book presents a variety of elementary number theory insights involving sequences largely built from prime numbers and contingent number-theoretic functions. Chapters include new mathematical ideas and open problems, some of which are proved in the text. Vector valued MGPF sequences, extensions of Conway's Subprime Fibonacci sequences, and linear complexity of bit streams derived from GPF sequences are among the topics covered in this book. This book is perfect for the pure-mathematics-minded educator in a small undergraduate college as well as graduate students and advanced undergraduate students looking for a significant high-impact learning experience in mathematics.

Presents experimental and computational number theory in a new and interesting context Offers new mathematical ideas and problems involving prime numbers and related sequences Perfect for graduate and advanced undergraduate students studying applied and computational number theory Includes supplementary material: sn.pub/extras

Autorentext
Mihai Caragiu is a professor of mathematics at Ohio Northern University. He is the recipient of the 2010 Outstanding Teaching Faculty Award for the Department of Mathematics and Statistics.

Inhalt
Forward.- 1. Introduction.- 2. Warming Up: Integers, Sequences, and Experimental Mathematics.- 3. Greatest Prime Factor Sequences.- 4. Conway's Subprime Function and Related Structures with a Touch of Fibonnacci Flavor.- 5. Going All Experimental - More Games and Applications.- Appendix 0.- Visualization.- Appendix 1.- Appendix 2.- Appendix 3.- References.