In the mysterious world of number theory, Goldbach's Conjecture is undoubtedly a shining jewel, attracting countless mathematicians to explore it. This book, "The Proof of Goldbach's Conjecture", is an in-depth study of this great conjecture, opening a door to the mysteries of number theory for readers.

Goldbach's Conjecture, since its inception over two centuries ago, has maintained its mystique and allure. It states that any even number greater than 2 can be expressed as the sum of two prime numbers. This seemingly simple statement contains endless mathematical mysteries, and its proof is fraught with challenges.

In proving their points, the authors employ a unique approach. Focusing on the form "30*K + O" (where K is any positive integer and O is an even number between 2 and 30), the authors gradually construct the framework of their proof by deeply studying the divisibility rules of different prime numbers and their products. From the number of numbers divisible by the product of 31 and prime numbers greater than 31 to the number divisible by the product of 149 and prime numbers greater than 149, the book provides detailed analysis and calculations for various cases. These data and analyses form the crucial foundation of the proof.

For example, the book uses the number 4112641 (a 1-way number) as an example to demonstrate in detail various calculations related to prime numbers. Through precise calculations of the number of divisible numbers under different combinations of prime numbers, such as the number of times 7 is divisible by the product of primes greater than 7, and the number of times 11 is divisible by the product of primes greater than 11, the book reveals the intrinsic connections between numbers from multiple perspectives. These seemingly complex data and calculations are actually closely logically linked. Based on this, the author derives the key conclusion "D S1 S2>1" (where D is the segment number, and S1 and S2 are the prime ratios of any two-way numbers), thus providing strong support for proving Goldbach's conjecture.

This book is not only a bold attempt to prove Goldbach's Conjecture, but also an innovative demonstration of research methods in number theory. It shows readers that, in the face of complex number theory problems, meticulous analysis, rigorous reasoning, and extensive data computation can gradually approach the truth. For mathematics enthusiasts, this book is an excellent resource to spark their interest in number theory and guide them to delve deeper into the mysteries of numbers; for professional mathematicians, the new ideas and methods presented may provide new inspiration for their research, propelling the field of number theory forward. In the history of mathematics, the proof of Goldbach's Conjecture has always been a significant milestone, and this book is undoubtedly an important step towards that milestone, worthy of reading and exploration by everyone passionate about mathematics.

About the Author

Li Jirong, male, born in 1949. He was once a hardworking carpenter on the front lines of construction. Driven by his thirst for knowledge and relentless effort, he stood out in the national unified examination in 1978 and became a student at Tongji University. Afterwards, he devoted himself to the field of architectural engineering, transforming into a professional architectural budgeter, contributing his wisdom and strength to my country's construction industry.