Multiplicative and additive primes: primes where the product and sum of digits are also prime.

Terms

a(0) =2a(1) =3a(2) =5a(3) =7a(4) =113a(5) =131a(6) =151a(7) =311a(8) =2111a(9) =11113a(10) =11117a(11) =11131a(12) =11171a(13) =11311a(14) =111121a(15) =111211a(16) =112111a(17) =1111151a(18) =1111711a(19) =1117111a(20) =1171111a(21) =111111113a(22) =111111131a(23) =111113111a(24) =115111111a(25) =131111111a(26) =1111111121a(27) =1111211111a(28) =1121111111a(29) =11111111113