n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 249: | \[249!!!!+1\] | 2 × 929 × 1669 × 481596977806478280386962863785417<33> × 90737552734678372924659870567567976969351<41> × 15328861756252266839195255058865537064074289<44> |