n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
186: | \[186!!!+1\] | 67 × 593 × 30557 × 36843253897223<14> × 2338776236839433<16> × 182988628282773461<18> × 310097051846458865694287<24> × 2022579335825936962194861047746507531<37> |