n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 276: | \[276!!!!!+1\] | 1061 × 6053 × 4940412136603<13> × 28501508054210183<17> × 2179255918590184698071618667960863<34> × 4350099756402189741036052088101312542961987<43> |