Numbers k such that (k! + 3)/3 is prime.

Terms

a(0) =3a(1) =5a(2) =6a(3) =8a(4) =11a(5) =17a(6) =23a(7) =36a(8) =77a(9) =93a(10) =94a(11) =109a(12) =304a(13) =497a(14) =1330a(15) =1996a(16) =3027a(17) =3053a(18) =4529a(19) =5841a(20) =20556a(21) =26558a(22) =28167