a(n) is the number of primes between (prime(n))^3 and (prime(n+1))^3.

Terms

a(0) =5a(1) =21a(2) =38a(3) =149a(4) =110a(5) =329a(6) =226a(7) =575a(8) =1250a(9) =521a(10) =1966a(11) =1656a(12) =939a(13) =2127a(14) =3830a(15) =4665a(16) =1768a(17) =5883a(18) =4535a(19) =2387a(20) =8007a(21) =5968a(22) =9965a(23) =15293a(24) =8508a(25) =4457a(26) =9513a(27) =4974a(28) =10458a(29) =42153