n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 457: | \[457!!!!!+1\] | 2357 × 7039 × 21424159 × 17972130151<11> × 21222987487278054587075261291<29> × [55334100547313335897179268139784600040319362667214786652441897478281903088955852773560053997572674501521486916515777202226973980045581066521147949679601<152>] |