This is similar to the rising factorial: (a)_k is the kth rising factorial of a.

Also know as the "Pochhammer Symbol"

a * (a+1) * ... (a+k+1) or

e.g. (5)_3 = 5 * 6 * 7

So Super Factorial is the same as (a)_a, e.g. 3 s! = (3)_3

Therefore a super factorial prime is a super factorial plus or minus one which is also a prime number.

Also the formula N s! = (2N-1)! / (N-1)!

1 s! + 1 = 2

2 s! - 1 = 5

3 s! - 1 = 59

3 s! + 1 = 61

4 s! - 1 = 839

5 s! + 1 = 15,121

6 s! + 1 = 332,641

11 s! + 1 = 14,079,294,028,801

12 s! + 1

14 s! - 1

15 s! - 1

17 s! - 1

24 s! - 1

36 s! + 1

41 s! - 1

54 s! + 1

94 s! + 1

108 s! + 1

146 s! + 1