n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
319: | \[319!!!!!+1\] | 86293 × 608653 × 24044161451239<14> × 48345912418252719771186324249246888304788977821<47> × 420693452989001934120075945912692247194597064004751271951436627<63> |