n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 307: | \[307!!!!!+1\] | 5 × 12553 × 584137999607221<15> × 158684033519408389<18> × 84216025599981936701<20> × 52675282153102960791151197789320705475067996098417231197100442208587009<71> |