Numbers k such that average of prime(k) and prime(k+1) is a perfect square.

Terms

a(0) =2a(1) =4a(2) =18a(3) =22a(4) =34a(5) =48a(6) =66a(7) =85a(8) =114a(9) =181a(10) =263a(11) =378a(12) =503a(13) =564a(14) =690a(15) =793a(16) =1058a(17) =1498a(18) =1617a(19) =1924a(20) =2163a(21) =2223a(22) =2788a(23) =2980a(24) =3076a(25) =3211a(26) =3908a(27) =4018a(28) =4127a(29) =4707