Primes of the form (prime(prime(k)) + prime(prime(k+1)))/2.

Terms

a(0) =307a(1) =593a(2) =1459a(3) =1511a(4) =1609a(5) =2399a(6) =2447a(7) =2579a(8) =2903a(9) =4409a(10) =5953a(11) =6317a(12) =7151a(13) =11083a(14) =12491a(15) =14753a(16) =16067a(17) =18199a(18) =18223a(19) =20929a(20) =21787a(21) =23893a(22) =25667a(23) =26317a(24) =31051a(25) =37139a(26) =37573a(27) =37871a(28) =40283a(29) =40471