"Rare" Primes
I am looking for "rare" prime numbers. For purposes of this tread a prime number is rare if there are 10 or less known examples. Even if it is believed that there is an infinate number of primes of a partiocular type; it is rare if there are 10 or less known examples.
Even primes n
n=2
Generalized Fermat 10^2^n+1
n=1
Subfactorial !n
n=2
Perfect number 1; n is a perfect number
n=6
Sequential prime of type (1234567890)n1
n=17, 56
Subfactorial +1; !n+1
n=2, 3
Type: n^n^n +1
n=1, 2
Wilson primes; (n1)!+1 is divisible by n^2
Subfactorial  1; !n1
n= 5, 15, 17
Type: n^n+1
n=1, 2, 4
Double Mersenne; 2^n1; where n is a Mersenne prime
n=2, 3, 5, 7
Perfect number +1; where n is a perfect number
n= 6, 28, 496, 137,438,691,328
Fermat prime; 2^n+1
n=0, 1, 2, 3, 4
Repunit containing only decimal digit 1; n= number of digits
n=2, 19, 23, 317, 1,031
