Prime-indexed primes that are the average of the preceding and following prime-indexed primes.

Terms

a(0) =11a(1) =431a(2) =2081a(3) =2683a(4) =3169a(5) =4663a(6) =25841a(7) =26591a(8) =76031a(9) =92569a(10) =127033a(11) =158227a(12) =158293a(13) =158449a(14) =186481a(15) =204019a(16) =213067a(17) =218513a(18) =221539a(19) =291437a(20) =294313a(21) =397013a(22) =419351a(23) =426841a(24) =510481a(25) =551443a(26) =591937a(27) =594203a(28) =609313a(29) =671303