n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
442: | \[442!!!!+1\] | 223 × 809 × 36229 × 17665831 × 32514533 × 2680850431400900501<19> × 63151003828770784607397789667583487705418743051145804259504646461126840428651649038109852029148978761618636657924225202764842146027942556404315980612877670456081171990570456911996185134703053419672740229<203> |