A Proof of the Strong Goldbach Conjecture by Contradiction

The Strong Goldbach Conjecture (Even Goldbach Conjecture) states that every even integer greater than or equal to 6 can be expressed as the sum of two odd primes. In this work, we adopt proof by contradiction. Assuming a minimal even counterexample exists that violates the conjecture, we utilize fundamental properties of primes, recursive reasoning, known results from number theory and numerical tests to perform reduction to absurdity. The hypothetical counterexample leads to a logical contradiction, and we therefore establish a rigorous proof of the Strong Goldbach Conjecture.强哥德巴赫猜想(偶哥德巴赫猜想)指出,每个大于或等于 6 的偶数都可以表示为两个奇素数之和。在这项工作中,我们采用反证法。假设存在违反猜想的最小偶反例,我们利用素数的基本性质、递归推理、数论和数值测试的已知结果来进行荒谬的还原。假设的反例导致了逻辑上的矛盾,因此我们建立了强哥德巴赫猜想的严格证明。