n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 382: | \[382!!!!!+1\] | 43476193 × 147140239 × 203241791339<12> × 4688564948909111171029<22> × 523607831425752003100286756741837373264033534471064958201373259718671117567069301040535674718488053065643080554427769<117> |