a(n) is prime and sum of all primes <= a(n) is prime.

Terms

a(0) =2a(1) =3a(2) =7a(3) =13a(4) =37a(5) =43a(6) =281a(7) =311a(8) =503a(9) =541a(10) =557a(11) =593a(12) =619a(13) =673a(14) =683a(15) =733a(16) =743a(17) =839a(18) =881a(19) =929a(20) =953a(21) =1061a(22) =1163a(23) =1213a(24) =1249a(25) =1277a(26) =1283a(27) =1307a(28) =1321a(29) =1949