Euclid-Mullin sequence (A000945) with initial value a(1)=53 instead of a(1)=2.

Terms

a(0) =53a(1) =2a(2) =107a(3) =3a(4) =7a(5) =11a(6) =2620003a(7) =707431a(8) =1993a(9) =4409a(10) =131a(11) =17a(12) =5a(13) =858127a(14) =79a(15) =163a(16) =19a(17) =46061a(18) =31a(19) =17707a(20) =157a(21) =43a(23) =9893869a(24) =149a(25) =1001472037a(26) =16979051a(27) =387853a(28) =61a(29) =13a(30) =227