n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 356: | \[356!!!!!-1\] | 5 × [18434207268855756048765957820786001859990882421956325630321354114183931346741875003941046031531460033063516948064221712305878666519363455842676261466931<152>] |