Sequential Experiments with Primes

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. 

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.

"Caragiu (Ohio Northern Univ.) offers readers a valuable case study in fostering undergraduate research; he focuses on processes analogous to the Fibonacci sequence (generate each term by adding the previous two), twisted now by passing to the largest prime dividing the sum (or by dividing out the smallest prime). ... Recommended. Undergraduates and above." (D. V. Feldman, Choice, Vol. 56 (1), September, 2018)

"Caragiu's book is a lovely synthesis of both ideas illustrated with sequences based on prime numbers. ... this book offers you many ideas to explore and is an excellent foray into experimental mathematics. ... Overall, this is an excellent book. If you are interested in experimental math and want to play, you'll enjoy this book." (David S. Mazel, MAA Reviews, December, 2017)