a(n) = ((n-th prime)^6-(n-th prime)^4)/6.

Terms

a(0) =8a(1) =108a(2) =2500a(3) =19208a(4) =292820a(5) =799708a(6) =4009008a(7) =7819260a(8) =24626008a(9) =99019340a(10) =147763360a(11) =427308708a(12) =791213080a(13) =1052990708a(14) =1795722608a(15) =3692745108a(16) =7028069380a(17) =8584421420a(18) =15073038508a(19) =21345812040a(20) =25217638008a(21) =40508084240