a(1) = 1; for n>1, a(n) = smallest prime > a(n-1) such that a(1)*...*a(n) + 2 is a prime.

Terms

a(0) =1a(1) =3a(2) =5a(3) =7a(4) =13a(5) =23a(6) =29a(7) =37a(8) =43a(9) =61a(10) =73a(11) =89a(12) =137a(13) =151a(14) =167a(15) =199a(16) =269a(17) =383a(18) =397a(19) =521a(20) =619a(21) =659a(22) =739a(23) =1217a(24) =1307a(25) =1613a(26) =1741a(27) =1847a(28) =1873a(29) =2039