论文标题
绝缘素
Insulated primes
论文作者
论文摘要
Prime $ P $的绝缘程度定义为不存在其他主要的最大间隔。基于此,且仅当其绝缘程度高于其相邻的素数时,$ n $ th prime $ p_ {n} $被隔热。因此,新的特殊序列出现为7、13、37、53、67、89、89、103、113、131、139、139、157、173、193、193、211、211、233、277、293,等等。本文介绍了有关绝缘程度和绝缘素的几个属性和有趣的关系。最后,读者留下了令人着迷的开放问题。
The degree of insulation of a prime $p$ is defined as the largest interval around it in which no other prime exists. Based on this, the $n$-th prime $p_{n}$ is said to be insulated if and only if its degree of insulation is higher than its neighboring primes. Consequently, a new special sequence emerges given as 7, 13, 23, 37, 53, 67, 89, 103, 113, 131, 139, 157, 173, 181, 193, 211, 233, 277, 293, and so on. This paper presents several properties and intriguing relations concerning degree of insulation and insulated primes. Finally, the reader is left with a captivating open problem.