Primes with digits in nondecreasing order, only primes, and with sum of digits also a prime.

Terms

a(0) =2a(1) =3a(2) =5a(3) =7a(4) =23a(5) =223a(6) =227a(7) =337a(8) =557a(9) =577a(10) =2333a(11) =2357a(12) =2377a(13) =2557a(14) =2777a(15) =33377a(16) =222337a(17) =222557a(18) =233357a(19) =233777a(20) =235577a(21) =2222333a(22) =2233337a(23) =2235557a(24) =3337777a(25) =3355777a(26) =5555777a(27) =22222223a(28) =22233577a(29) =23333357