n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 427: | \[427!!!!-1\] | 2 × 6599 × 2027411 × 12749689 × [239957488103311395318851116488609268216790838861928932068246800009217306662089964329281716083011962843427647119632224914780461973243801304333004530605683510869155994387426204988814677927529786168893300964810706138713847<219>] |