n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
346: | \[346!!!!!+1\] | 1787 × 412774446439634855526581457865916465942198165717540758573573110139557738688693854012573165128080541162207439448774871100589996744760444559365171<144> |