Euclid-Mullin sequence (A000945) with initial value a(1)=5 instead of a(1)=2.

Terms

a(0) =5a(1) =2a(2) =11a(3) =3a(4) =331a(5) =19a(6) =199a(7) =53a(8) =21888927391a(9) =29833a(10) =101a(11) =71a(12) =23a(13) =311a(14) =7a(15) =72353a(16) =13a(17) =227a(18) =96014559769a(19) =5641a(20) =41a(21) =82107739003a(22) =67a(23) =169637539a(24) =61a(25) =29a(26) =31319a(27) =17a(28) =97a(29) =238591921