Numbers k such that k!!! - 3^k is prime.

Terms

a(0) =68a(1) =88a(2) =91a(3) =118a(4) =131a(5) =151a(6) =157a(7) =194a(8) =203a(9) =424a(10) =602a(11) =772a(12) =832a(13) =884a(14) =947a(15) =1309a(16) =1463a(17) =2246a(18) =3304a(19) =4043a(20) =5725a(21) =6683a(22) =9344a(23) =10969a(24) =11026a(25) =11735a(26) =13664a(27) =14857a(28) =18529a(29) =21676