A Proof of Goldbach's Conjecture Using a New Number Representation

Goldbach's Conjecture states that every even integer can be expressed as the sum of two prime numbers. In this paper, we introduce a new approach involving an auxiliary correction term , where , to systematically establish the existence of two primes and satisfying . We use results from prime number distribution and Bertrand's Postulate to rigorously prove the conjecture for all even numbers.哥德巴赫猜想（Goldbach's Conjecture）指出，任一偶整数均可表示为两个素数之和。本文提出一种包含辅助修正项的新研究方法，借此系统性地确立满足(n = p + q)的两个素数(p)与(q)的存在性。本文借助素数分布（prime number distribution）领域的相关结论与伯特兰公设（Bertrand's Postulate），严谨证明了该猜想对所有偶整数均成立。