Smallest prime > n!.

Terms

a(0) =2a(1) =3a(2) =7a(3) =29a(4) =127a(5) =727a(6) =5051a(7) =40343a(8) =362897a(9) =3628811a(10) =39916801a(11) =479001629a(12) =6227020867a(13) =87178291219