n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
395: | \[395!!!!!-1\] | 14800216829904023679443409205035421479493290276178248621378015819812762482103415538072586059570312499999999999999999999999999999999999999999999999999999999999999999999999999<173> |