Euclid-Mullin sequence (A000945) with initial value a(1)=257 instead of a(1)=2.

Terms

a(0) =257a(1) =2a(2) =5a(3) =3a(4) =11a(5) =84811a(6) =31a(7) =7a(9) =20113a(10) =17a(11) =83a(12) =47a(13) =339491a(14) =7814561a(15) =109a(16) =2897a(17) =16103a(18) =70921439a(19) =199a(20) =1381a(22) =43a(23) =241a(24) =37a(25) =491a(27) =8803a(28) =29a(29) =25212511a(30) =2311a(31) =67a(32) =3929