n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
367: | \[367!!!!-1\] | 23 × 4541727061<10> × 8151286977203<13> × 271065411846376692913482179843587509748815032735184960215637435688631286506760648561024353711483844629044788814285929865644902246146128885434474327173369800835515663768630041<174> |