n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 518: | \[518!!!!!+1\] | 409 × 743 × 6277 × 1550238799001<13> × 75157827711265877<17> × [23909698193863801879813393544825288875157893143593402064522620470363300100809911171532207205213992073502306625107289672297700996643425277644950384384035062936639832647680902105318061282438996796653679<200>] |