n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 331: | \[331!!!!!+1\] | 5783 × 2543999822279<13> × 10883991577554914821967174810668889792267<41> × 116200804544799862941022167136021500811300151638674816938644944852002158530892016003<84> |