Twin Prime Root System Theory and the Twin Prime Conjecture

Author: Yang Maoxiang et al
Publisher:
Publish Date: 2003-10-01
Features: This book is based on set theory and conducts an in-depth study on the macro distribution patterns of prime numbers. Subsequently, on the foundation of set theory, probability theory, and algebraic equations, it applies Dirichlet's theorem and congruence theory to propose the Root Theory for the following renowned and internationally recognized problems: (1) the Twin Prime Conjecture, (2) whether every even number is the difference of two prime numbers, and (3) whether every even number can be expressed as the difference of infinitely many pairs of prime numbers. The Root Theory was proposed in 1996, and its mathematical model was published in the journal Aeronautical Computing Technology in September 2000. This book is divided into two main parts: the theoretical part and the twin prime data. The data is further divided into basic data and ultra-large data. The basic data includes all twin prime pairs from the natural numbers 1 to 2 billion, with one out of every 10,000 of them published at the end of the book. For the ultra-large data, the twin primes up to 50 digits and 2003 digits are also included in this book.