n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 359: | \[359!!!!!-1\] | 5 × 173 × 433817 × 1564603 × 1712551 × 493397846873573912742488162748076771<36> × 565354694124697288145532255672958804812439681<45> × 16863997874678748936893513440105364921056895744786209<53> |