Numbers k for which (k!-3)/3 is prime.

Terms

a(0) =4a(1) =6a(2) =12a(3) =16a(4) =29a(5) =34a(6) =43a(7) =111a(8) =137a(9) =181a(10) =528a(11) =2685a(12) =39477a(13) =43697