n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 312: | \[312!!!!!+1\] | 13702194581<11> × 1175049482254351995126988055239237317934121<43> × 500122212572867586233096593958167761773991450240202608245623515392865318545269<78> |