n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
399: | \[399!!!!!+1\] | 3217 × 83831352210773<14> × 7841156294841760114179393787843235336688454283967426722912831881068461120912774524795982218851176388138231537071876010679548769039743614906618836320767476397<157> |