a(n) = n!-p, where p is the largest prime < (n!-1).

Terms

a(0) =3a(1) =5a(2) =7a(3) =11a(4) =17a(5) =31a(6) =13a(7) =11a(8) =13a(9) =13a(10) =23a(11) =17a(12) =47a(13) =53a(14) =59a(15) =41a(16) =101a(17) =31a(18) =31a(19) =73a(20) =89a(21) =73a(22) =149a(23) =37a(24) =43a(25) =101a(26) =31a(27) =79a(28) =61a(29) =163