n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 558: | \[558!!!!!+1\] | 12823 × 769687 × 1434150161023<13> × 107364225845774551<18> × [25423653662017913646361657856880514211660344433928661138623124863430695902169021652492201878592074131055750242377540170189483498183313169110761764164403830345304299878143991904105168239227895961904189467005619819941984649<221>] |