n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
318: | \[318!!!!!+1\] | 1120529 × 13542539 × 3372652981 × 2888576827275011091913660736393977<34> × 59085616497559117018577958077206637971939946495058956704781537762663928538111<77> |