n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 305: | \[305!!!!!+1\] | 57973337 × [37970529148345841305909012407894778610105154593760818895844062206966583621018745220755534565829805519044039158898167273<119>] |