The Super Factorial Primes

First the Definition of Super Factorial: N s! = N (N+1) (N+2)... (N+N-1)

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

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