论文标题
主要代表性常数
A Prime-Representing Constant
论文作者
论文摘要
我们提出了定义序列$ f_n $的常数和递归关系,使得$ f_n $的地板是$ n $ th prime。因此,该常数会产生完整的素数顺序。我们还显示了该常数是非理性的,并且考虑可以使用相同方法生成的其他序列。
We present a constant and a recursive relation to define a sequence $f_n$ such that the floor of $f_n$ is the $n$th prime. Therefore, this constant generates the complete sequence of primes. We also show this constant is irrational and consider other sequences that can be generated using the same method.