n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 359: | \[359!!!!!-1\] | 5 × 173 × 433817 × 1564603 × 1712551 × [4704124325492668720348861637546258226390493427507615088021686402290707661604593709187862818943617803805768653206479115053728186846659<133>] |