a(n) = smallest prime > e^n.

Terms

a(0) =2a(1) =3a(2) =11a(3) =23a(4) =59a(5) =149a(6) =409a(7) =1097a(8) =2999a(9) =8111a(10) =22027a(11) =59879a(12) =162779a(13) =442439a(14) =1202609a(15) =3269029a(16) =8886113a(17) =24154957a(18) =65660003a(19) =178482319a(20) =485165237a(21) =1318815761a(22) =3584912873a(23) =9744803489a(24) =26489122147a(25) =72004899361a(26) =195729609461a(27) =532048240609