a(n) = ((n-th prime)^5-(n-th prime)^3)/6.

Terms

a(0) =4a(1) =36a(2) =500a(3) =2744a(4) =26620a(5) =61516a(6) =235824a(7) =411540a(8) =1070696a(9) =3414460a(10) =4766560a(11) =11548884a(12) =19297880a(13) =24488156a(14) =38206864a(15) =69674436a(16) =119119820a(17) =140728220a(18) =224970724a(19) =300645240a(20) =345447096a(21) =512760560a(22) =656411476a(23) =930559080a(24) =1431071264