Once Upon A Prime - Fok Al Adeh, Fayez
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A fundamental theorem in arithmetic states that every composite number is a product of primes ,and moreover, in a unique way. This book deals with important questions relating to primes: how to decide whether an arbitrary given natural number (>1) is prime or not? In chapter one I provide with some efficient simple tests for primality, although it is well known that deciding whether a given natural number is prime or composite, is not an easy task .The Riemann zeta function is important in the theory of primes In this book, I prove a hypothesis based on the Riemann zeta function known as the…mehr

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Produktbeschreibung
A fundamental theorem in arithmetic states that every composite number is a product of primes ,and moreover, in a unique way. This book deals with important questions relating to primes: how to decide whether an arbitrary given natural number (>1) is prime or not? In chapter one I provide with some efficient simple tests for primality, although it is well known that deciding whether a given natural number is prime or composite, is not an easy task .The Riemann zeta function is important in the theory of primes In this book, I prove a hypothesis based on the Riemann zeta function known as the Riemann hypothesis. A proof of the theorem which states that there exists at least one prime between any natural number n (>1) and its' double 2n ,was supplied by the Indian genius Ramanujan. I give in chapter 3 a proof of a similar theorem which asserts that ,if n is a natural number (>1), then there is always a prime between the square on and the square of its' successor (n+1) .
Autorenporträt
Engr. FAYEZ FOK AL ADEH I am an amateur scientist . I have written 40 books and 590 articles ,delivered tens of lectures in mathematics ,physics ,astronomy and computer science. I have written ten innovative papers in these fields .One of them contains an exact solution to the celebrated Riemann hypothesis.