n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 346: | \[346!!!!+1\] | 5077 × 8893 × 56263 × 701341 × [1711093463747645020626580159356187753233048203637990676001458402313267031796645812729636440821805522022157850482840112420497422099011383304628441641755440361066457827<166>] |