Numbers n such that the average of prime(n) and prime(n+1) is a perfect cube.

Terms

a(0) =18a(1) =269a(2) =564a(3) =2020a(4) =2460a(5) =4821a(6) =10499a(7) =17583a(8) =25030a(9) =27154a(10) =34238a(11) =39583a(12) =82915a(13) =92295a(14) =107454a(15) =121248a(16) =142474a(17) =148961a(18) =159031a(19) =162482a(20) =233036a(21) =250923a(22) =342833a(23) =365844a(24) =427518a(25) =460792a(26) =467647a(27) =481615a(28) =741275