a(1) = 5; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.

Terms

a(0) =5a(1) =9a(2) =23a(3) =37a(4) =39a(5) =47a(6) =57a(7) =97a(8) =119a(9) =187a(10) =257a(11) =271a(12) =273a(13) =281a(14) =309a(15) =367a(16) =449a(17) =529a(18) =687a(19) =759a(20) =933a(21) =1031a(22) =1131a(23) =1237a(24) =1263a(25) =1343a(26) =1731a(27) =1861a(28) =2177a(29) =2337