Prime numbers are the atoms of arithmetic, the building blocks for all other numbers. In school, we are taught that a prime is one that cannot be divided evenly by any other number except one and itself. What we are not taught is that primes represent the most tantalizing mystery in the pursuit of human knowledge. How can one predict when the next prime number will occur? Is there a formula that could generate primes? Where is the pattern behind these elusive numbers? These questions have formed a riddle that has confounded mathematicians since the ancient Greeks. The answer would revolutionize the world of math, and much more. Nearly 150 years ago, a German mathematician named Bernard Riemann came as close as anyone has ever come to solving this problem. In 1859 he presented a paper on the subject of prime numbers to the Berlin Academy. At the heart of his presentation was an idea -- a hypothesis -- that seemed to reveal a magical harmony between primes and other numbers. It was an idea that Riemann argued was very likely to be true. But after his death, his housekeeper burned all of his personal papers, and to this day, no one knows whether he ever found the proof. By now, the Riemann Hypothesis has become the number one obsession for the world's leading mathematicians. Considered to be even more difficult and more important than Fermat's Last Theorem, Riemann's solution would serve as a periodic table in charting the entire mathematical universe. But it has implications that go far beyond math. It is of tremendous importance in business, since prime numbers are the linchpin for security in banking and e-commerce. It is also the idea that brings together vastly different areas of science, with critical ramifications for Quantum Mechanics, Chaos Theory, and the future of computing. Pioneers in each of these fields are racing to crack the code, and a prize of one million dollars has been offered to the winner. In this remarkable book, Marcus du Sautoy tells a story of eccentric and brilliant men, and of the unquenchable thirst for knowledge that has driven some to madness and others to glory. Illuminating, authoritative, and extremely engaging, The Music of the Primes provides the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.
Every change agent has felt their effect, but few can recognize, anticipate, and manage them. Unacknowledged, the primes can put any leadership agenda at risk. Once mastered, the primes become a force that drives intended outcomes.
Answer: For many years we did not know; however, in 2013 Curtis Cooper discovered the even bigger Mersenne prime 257,885,161 − 1, with a whopping 17,425,170 digits! Again we can ask if there is a Mersenne prime larger than Cooper's.
Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing ...
Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof â€" and those who have been consumed by it.
The Pulitzer Prize–winning magazine’s stories of mathematical explorations show that inspiration strikes haphazardly, revealing surprising solutions and exciting discoveries—with a foreword by James Gleick These stories from Quanta ...
With loads of games to play and puzzles to solve, this is a math book for everyone.
This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium series established to honour Professors A. J. Coleman and H. W. Ellis and to acknowledge their long-lasting interest in ...
In the wake of his enormously popular books, The Armchair Economistand More Sex is Safer Sex, Steven Landsburg uses concepts from maths, economics and physics to address the big questions in philosophy: Where does knowledge come from?
In 1859 Bernhard Riemann, a shy German mathematician, gave an answer to a problem that had long puzzled mathematicians. Although he couldn't provide a proof, Riemann declared that his solution...
The artwork is crisp and creative and the colors are bright and engaging, making this volume a welcome deviation from standard math texts. Any person, regardless of age, can profit from reading this book.