Lesser of consecutive primes whose average is a perfect power.

Terms

a(0) =3a(1) =7a(2) =61a(3) =79a(4) =139a(5) =223a(6) =317a(7) =439a(8) =619a(9) =1087a(10) =1669a(11) =1723a(12) =2593a(13) =3593a(14) =4093a(15) =5179a(16) =6079a(17) =8461a(18) =12541a(19) =13687a(20) =16633a(21) =17573a(22) =19037a(23) =19597a(24) =21943a(25) =25261a(26) =27211a(27) =28219a(28) =29581a(29) =36857