Prime lengths of factorials: see A035065.

Terms

a(0) =2a(1) =3a(2) =3a(3) =5a(4) =7a(5) =11a(6) =13a(7) =19a(8) =23a(9) =29a(10) =31a(11) =37a(12) =41a(13) =47a(14) =53a(15) =67a(16) =79a(17) =97a(18) =101a(19) =127a(20) =131a(21) =137a(22) =139a(23) =149a(24) =167a(25) =173a(26) =179a(27) =181a(28) =191a(29) =193