a(n) = prime(n) + n!.

Terms

a(0) =3a(1) =5a(2) =11a(3) =31a(4) =131a(5) =733a(6) =5057a(7) =40339a(8) =362903a(9) =3628829a(10) =39916831a(11) =479001637a(12) =6227020841a(13) =87178291243