$n$ th+1素数极限公式
The $n$th+1 Prime Number Limit Formulas
摘要：
给出了生成$n$第n个$+1$素数的Golomb极限公式的一种新的推导方法.当$s$接近无穷大时，从黎曼ζ函数$ζ(s)$的欧拉素积表示中提取$p_{n+1}$，得到极限公式.此外，这些极限公式的新的变化进行了探讨，如对数和半素数公式的$p_{n+1}$。
英文摘要：
A new derivation of Golomb's limit formula for generating the $n$th$+1$ prime number is presented. The limit formula is derived by extracting $p_{n+1}$ from Euler's prime product representation of the Riemann zeta function $ζ(s)$ in the limit as $s$ approaches infinity. Also, new variations of these limit formulas are explored, such as the logarithm and a half-prime formulas for the $p_{n+1}$.
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