Numbers k such that (k!-4)/4 is prime.

Terms

a(0) =4a(1) =5a(2) =6a(3) =7a(4) =8a(5) =10a(6) =15a(7) =18a(8) =23a(9) =157a(10) =165a(11) =183a(12) =184a(13) =362a(14) =611a(15) =908a(16) =2940a(17) =6875a(18) =9446a(19) =16041