n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 305: | \[305!!!-1\] | 34 × 1019 × 67538249 × 9352797799627774549727<22> × [13504544054459320843704599095714957346436963580162535604968377387921295204501043434809142463408702779027697423668355083968454873921275988040512592071679776856967113216483992267<176>] |