  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.
