Long Period Prime/Sequence

Sequence
The sequence of long period primes begins:


 * $7$, $17$, $19$, $23$, $29$, $47$, $59$, $61$, $97$, $109$, $113$, $131$, $149$, $167$, $179$, $\ldots$

Proof
Demonstrated by inspection and calculation.

From Reciprocals of Prime Numbers: