a(1) = 8; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.

Terms

a(0) =8a(1) =9a(2) =23a(3) =51a(4) =69a(5) =81a(6) =93a(7) =129a(8) =169a(9) =179a(10) =181a(11) =273a(12) =321a(13) =323a(14) =471a(15) =493a(16) =633a(17) =689a(18) =781a(19) =933a(20) =951a(21) =969a(22) =1229a(23) =1309a(24) =1509a(25) =1707a(26) =1821a(27) =1863a(28) =1913a(29) =2169