Prime averages of two successive perfect powers (A001597(k) + A001597(k+1))/2.

Terms

a(0) =2203a(1) =77983a(2) =90863a(3) =185477a(4) =371087a(5) =388573a(6) =613607a(7) =912349a(8) =1293899a(9) =1600919a(10) =2146457a(11) =30661333a(12) =35608189a(13) =48823147a(14) =81190429a(15) =105823093a(16) =122753857a(17) =204341747a(18) =338602837a(19) =368601707a(20) =374788121a(21) =426958673a(22) =498675409a(23) =586371239a(24) =656232799a(25) =665360321a(26) =674509487a(27) =693132527