a(0)=3; for n > 0, a(n) = smallest prime > a(n-1) such that Product_{i=0..n} a(i) - 2 is prime.

Terms

a(0) =3a(1) =5a(2) =7a(3) =11a(4) =13a(5) =17a(6) =19a(7) =23a(8) =59a(9) =71a(10) =73a(11) =83a(12) =89a(13) =97a(14) =191a(15) =337a(16) =359a(17) =433a(18) =569a(19) =617a(20) =643a(21) =691a(22) =809a(23) =811a(24) =1439a(25) =1447a(26) =1451a(27) =1553a(28) =1571a(29) =1741