Euclid-Mullin sequence (A000945) with initial value a(1)=37 instead of a(1)=2.

Terms

a(0) =37a(1) =2a(2) =3a(3) =223a(4) =31a(5) =7a(6) =127a(7) =5a(8) =11a(9) =17a(10) =157a(11) =390191a(12) =23339a(13) =29a(14) =283a(15) =73a(16) =19a(17) =47a(19) =149a(20) =83a(21) =71a(22) =311a(23) =9791a(24) =4007a(25) =3101629a(26) =207541a(27) =2591a(28) =13a(29) =2414519329a(30) =107