a(n) = ((n-th prime)^5-(n-th prime)^3)/12.

Terms

a(0) =2a(1) =18a(2) =250a(3) =1372a(4) =13310a(5) =30758a(6) =117912a(7) =205770a(8) =535348a(9) =1707230a(10) =2383280a(11) =5774442a(12) =9648940a(13) =12244078a(14) =19103432a(15) =34837218a(16) =59559910a(17) =70364110a(18) =112485362a(19) =150322620a(20) =172723548a(21) =256380280a(22) =328205738a(23) =465279540a(24) =715535632a(25) =875755850