a(n) = ((n-th prime)^5-(n-th prime)^3)/4.

Terms

a(0) =6a(1) =54a(2) =750a(3) =4116a(4) =39930a(5) =92274a(6) =353736a(7) =617310a(8) =1606044a(9) =5121690a(10) =7149840a(11) =17323326a(12) =28946820a(13) =36732234a(14) =57310296a(15) =104511654a(16) =178679730a(17) =211092330a(18) =337456086a(19) =450967860a(20) =518170644a(21) =769140840a(22) =984617214a(23) =1395838620