Numbers p such that p = (prime(n)+ prime(n+3))/2 is prime for prime indices n=2, 3, 5...

Terms

a(0) =7a(1) =23a(2) =37a(3) =47a(4) =73a(5) =809a(6) =1453a(7) =1931a(8) =2621a(9) =3571a(10) =3917a(11) =4793a(12) =7901a(13) =8819a(14) =9467a(15) =10181a(16) =11657a(17) =12421a(18) =12659a(19) =12781a(20) =13229a(21) =14449a(22) =17383a(23) =21739a(24) =22079a(25) =24151a(26) =26501a(27) =28663a(28) =30881a(29) =32749