Wilson quotient

The Wilson quotient W(p) is defined as:

$W(p) = \frac{(p-1)! + 1}{p}$

If p is a prime number, the quotient is an integer by Wilson's theorem; moreover, if p is composite, the quotient is not an integer. If p divides W(p), it is called a Wilson prime. The integer values of W(p) are (sequence A007619 in OEIS):

W(2)=1
W(3)=1
W(5)=5
W(7)=103
W(11)=329891
W(13)=36846277
W(17)=1230752346353
W(19)=336967037143579
...