n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 274: | \[274!!!!-1\] | 397 × 363947497 × 40444625191<11> × [691783339224289077882478034255975006080758939078716463494621457441860935338152858889500153234486851437580706258548421<117>] |