Euclid-Mullin sequence (A000945) with initial value a(1)=65537 instead of a(1)=2.

Terms

a(0) =65537a(1) =2a(2) =5a(3) =3a(4) =7a(5) =11a(6) =61a(7) =13a(8) =120052642711a(9) =157a(10) =8837a(11) =71a(12) =3271a(13) =31a(14) =37a(15) =19a(16) =8597a(17) =8868542017a(18) =23a(19) =149a(21) =97a(22) =751a(23) =17a(24) =280121a(25) =4999a(26) =8797543a(27) =12241a(28) =29a(29) =53a(30) =197