n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 384: | \[384!!!!!+1\] | 5 × 235369 × 922741 × [31843429866356124649612084174812644219800470441777099582669679784544382129213909899481482272585312609379519582431496904434218194820380897695359373337996817<155>] |