The smallest invertible prime whose digits are circular and composite. [Punches]
The NSW number with index 6689 is prime. These numbers arise when addressing the following question: "Is there a finite simple group whose order is a square?"
The first occurrence of a twin prime pair (6689, 6691) that both are invertible primes. [Beedassy]
An invertible prime equal to 2^7+3^8. [Silva]