n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 227: | \[227!!!!!+1\] | 5 × 4861 × 594921065003959<15> × 281256984478973546851404057512819<33> × 8692613765788664349906797508954885613<37> |