The Rainbow of Primes
Unfolding the Mystery of the Prime Numbers
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The Rainbow of Primes
200 pages
Price: 30 €
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The author analyzes the primes by taking an interdisciplinary approach combined with an original perspective, making it possible to delve deep into the intrinsic properties of these mysterious numbers. Such an unconventional method of scientific research applied to the so-called random distribution of the primes leads to astonishing correlations between these seemingly abstract numbers and various real-life disciplines such as experimental mathematics and computational number theory. Several chapters are dedicated to the implications of such findings, at both theoretical and practical levels. The author concludes with the discovery of his largest personal primes.

João Carlos Leandro da Silva obtained his Bachelor of Science degree in Electrical Engineering from the University of Connecticut (USA) and pursued graduate studies in theoretical physics at the Instituto Superior Técnico in Portugal. The author worked as a professional engineer in several countries and his passion for mathematics led him to present a poster abstract entitled "The distribution of prime numbers hidden within a fractal binary pattern" at the Fractal 2004 conference in Vancouver, Canada. At present, he is a consultant in cryptography.
 
The book was published in December 2009 by Freund Publishing House Ltd. and was reviewed by the Mathematical Association of America (MAA) in 2010 as shown in the link below.

» mathdl.maa.org
 
Contents
Chapter 1:   Can Mathematicians be Poets?
Chapter 2:   How Can Both Time and Space be Connected to the Prime Numbers?
Chapter 3:   Helping to Secure Data Over the World Wide Web
Chapter 4:   Transforming Numbers into Primes
Chapter 5:   Fermat, Mersenne and Goldbach
Chapter 6:   Prelude to Breakthrough: An Interdisciplinary Approach
Chapter 7:   Finding the Rainbow of Primes
Chapter 8:   The Rebirth of Experimental Mathematics
Chapter 9:   Collatz or the 1-2-3 Problem?
Chapter 10:   The Factoring Problem and Some Algorithms
Chapter 11:   Proving that Large Primes are Indeed Prime Numbers
Chapter 12:   Largest Personal Primes
Table of First Four Thousand Primes
Answers to Questions in the Text
Appendix: Chapters Containing Mathematica Code
References
Index