n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 308: | \[308!!!!-1\] | 239 × 2179 × 140611 × 65371158215726775583489<23> × 8364964031693514821416669463043481<34> × 3211195551360118171744958482760524840793<40> × 25783622538873874312437256233930643731114584246387897<53> |