n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 322: | \[322!!!!+1\] | 3023 × 2583052919 × 9756458295524131<16> × 3415833132179020153<19> × 18193701698672439866413<23> × 8145161026078648713166813<25> × 55005150278121304187289507755048579915919783833247973037419852258488410419<74> |