Sequential Experiments with Primes

• Main Author: Caragiu, Mihai (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Subjects: Mathematics.; Number theory.; Number Theory.

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,...

Table of Contents:

• 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.