n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
165: | \[165!!!!-1\] | 22 × 3533 × 20823427 × 44597297 × 78026878073<11> × 3993538695548219<16> × 110851607741697298335632955569<30> |