n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 389: | \[389!!!!!-1\] | 5 × 1607 × 9981467 × 39037384043563<14> × [4296428233285600776325845607432365040068373051336500741697997843503174634070423181860328700675594376053843719974380321336529527335572136184704717<145>] |