Second smallest prime after n!.

Terms

a(0) =3a(1) =3a(2) =5a(3) =11a(4) =31a(5) =131a(6) =733a(7) =5059a(8) =40351a(9) =362903a(10) =3628819a(11) =39916817a(12) =479001643a(13) =6227020873a(14) =87178291241