n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
243: | \[243!!!!-1\] | 2 × 173 × 275047 × 6803397791<10> × 2490693296837907431757194038505089<34> × 487924055396644108716407128587314735346585793937128337784157410811273<69> |