An elementary conjecture which implies the Goldbach conjecture
英文摘要：
Let $p_{1}$, ..., $p_{k}$ be the first $k$ odd primes in succession. Let $n$ be an even integer such that $n > p_{k}$. We conjecture that if none of $n - p_{1}$, ..., $n - p_{k}$ are prime, then at least one of them has a prime factor which is greater than or equal to $p_{k}$. In this brief note, we observe that Goldbach's conjecture follows from this conjecture.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
