n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 271: | \[271!!!!!+1\] | 109470793 × 4390946467273<13> × 3784588057474724391505954564536178526982337<43> × 17074202380064245582753513004257143375459234289<47> |