Numbers that are both averages of consecutive primes and nontrivial prime powers.

Terms

a(0) =4a(1) =9a(2) =64a(3) =81a(4) =625a(5) =1681a(6) =4096a(7) =822649a(8) =1324801a(9) =2411809a(10) =2588881a(11) =2778889a(12) =3243601a(13) =3636649a(14) =3736489a(15) =5527201a(16) =6115729a(17) =6405961a(18) =8720209a(19) =9006001a(20) =12752041a(21) =16056049a(22) =16589329a(23) =18088009a(24) =21743569a(25) =25230529a(26) =29343889a(27) =34586161a(28) =37736449a(29) =39150049