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) =321a(14) =449a(15) =639a(16) =769a(17) =857a(18) =1047a(19) =1213a(20) =1233a(21) =1443a(22) =1587a(23) =1637a(24) =1953a(25) =2433a(26) =2599a(27) =2639a(28) =2901a(29) =3261