Perfect powers that are the average of two consecutive primes.

Terms

a(0) =4a(1) =9a(2) =64a(3) =81a(4) =144a(5) =225a(6) =324a(7) =441a(8) =625a(9) =1089a(10) =1681a(11) =1728a(12) =2601a(13) =3600a(14) =4096a(15) =5184a(16) =6084a(17) =8464a(18) =12544a(19) =13689a(20) =16641a(21) =17576a(22) =19044a(23) =19600a(24) =21952a(25) =25281a(26) =27225a(27) =28224a(28) =29584a(29) =36864