Averages of twin prime pairs of the form: sum of consecutive cubes.

Terms

a(0) =432a(1) =4788a(2) =9000a(3) =211500a(4) =437472a(5) =564300a(6) =1231200a(7) =1232352a(8) =1271088a(9) =2368800a(10) =2609208a(11) =3042900a(12) =5523408a(13) =6773580a(14) =8560692a(15) =9604980a(16) =9985500a(17) =12797568a(18) =14653548a(19) =15630300a(20) =15850800a(21) =24770592a(22) =26462700a(23) =33242400a(24) =34716348