Prime numbers such that, in base 10, all their proper prefixes and suffixes represent composites.

Terms

a(0) =89a(1) =409a(2) =449a(3) =499a(4) =809a(5) =4049a(6) =4549a(7) =4649a(8) =4909a(9) =4969a(10) =6299a(11) =6469a(12) =6869a(13) =6899a(14) =6949a(15) =8009a(16) =8039a(17) =8069a(18) =8209a(19) =8609a(20) =8669a(21) =8699a(22) =8849a(23) =9049a(24) =9209a(25) =9649a(26) =9949a(27) =40009a(28) =40099a(29) =40609