n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
294: | \[294!!!!-1\] | 236891 × 2371425149758947905664917<25> × 2562907594510720056929807<25> × 5739944982347598916200089<25> × 358498608571677405983995429<27> × 2608430610155630320429280845938159715619063651<46> |