n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 353: | \[353!!!!-1\] | 24 × 74891 × 316502127626129<15> × [158571371677689169979742163774602651402721632877130007856371445647672837972251435506171126030052727939999372708075986303073551317785531523320293635552367293442675756651<168>] |