Maximal sequence of primes whose digits are primes and whose digit sum is also a term.

Terms

a(0) =2a(1) =3a(2) =5a(3) =7a(4) =23a(5) =223a(6) =2777a(7) =7727a(8) =27527a(9) =33377a(10) =33773a(11) =35537a(12) =35573a(13) =35753a(14) =37337a(15) =52727a(16) =55337a(17) =55373a(18) =55733a(19) =73553a(20) =75227a(21) =75353a(22) =75533a(23) =222557a(24) =222773a(25) =223277a(26) =225257a(27) =225527a(28) =233357a(29) =235337