n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
150: | \[150!!!-1\] | 71 × 1051 × 1046426902046881<16> × 166419213338304357699251<24> × 1680212389447189879917148860061531512716483849<46> |