n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 401: | \[401!!!!-1\] | 23 × 227 × 22180141 × 968119907 × [13438453681251176727574315509452463021492985502492375306840447983277874782309157350166445621562119133030667984470844336074806316743701347750221651032055009026100135119214859189237808068763059865804247<200>] |