Euclid-Mullin sequence (A000945) with initial value a(1)=17 instead of a(1)=2.

Terms

a(0) =17a(1) =2a(2) =5a(3) =3a(4) =7a(5) =3571a(6) =31a(7) =395202571a(8) =13a(9) =29a(10) =137a(11) =23a(12) =97a(13) =1896893a(15) =4639a(16) =61a(17) =181a(18) =43a(19) =19a(20) =11a(21) =59a(23) =4909a(24) =18305191a(25) =467