From a Goldbach conjecture: records in A185091.

Terms

a(0) =1a(1) =3a(2) =5a(3) =7a(4) =17a(5) =29a(6) =47a(7) =61a(8) =73a(9) =83a(10) =277a(11) =317a(12) =349a(13) =419a(14) =503a(15) =601a(16) =709a(17) =829a(18) =877a(19) =1129a(20) =1237a(21) =1367a(22) =1429a(23) =1669a(24) =1801a(25) =2467a(26) =2833a(27) =2879a(28) =3001a(29) =3037