n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
341: | \[341!!!!!-1\] | 5 × 1949 × 281561977 × 818909434433<12> × 1311162619861505471<19> × 1894134977178695113<19> × 84177416052309159156288085642757761<35> × 4538438553800210277085444779420754432130403715313<49> |