Primes of the form [prime(n)*prime(n+1)+p]/2 with increasing p.

Terms

a(0) =11a(1) =23a(2) =47a(3) =83a(4) =131a(5) =191a(6) =263a(7) =397a(8) =563a(9) =709a(10) =953a(11) =1091a(12) =1289a(13) =1531a(14) =1867a(15) =2129a(16) =2389a(17) =2729a(18) =2963a(19) =3259a(20) =3659a(21) =4099a(22) =4787a(23) =5387a(24) =5693a(25) =6101a(26) =6473a(27) =6803a(28) =7829a(29) =8999