Primes whose proper substrings of consecutive digits are all composite.

Terms

a(0) =89a(1) =449a(2) =499a(3) =4649a(4) =4969a(5) =6469a(6) =6869a(7) =6949a(8) =8669a(9) =8699a(10) =8849a(11) =9649a(12) =9949a(13) =44699a(14) =46649a(15) =48649a(16) =48869a(17) =49669a(18) =64849a(19) =84869a(20) =86969a(21) =88469a(22) =94849a(23) =94949a(24) =98869a(25) =99469a(26) =444469a(27) =444869a(28) =446969a(29) =466649