n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 348: | \[348!!!!!-1\] | 331 × 2699 × 32383223 × 3774866325550583<16> × 720594232282439409369867638168440759<36> × 157989383440771963116733050327150880889023540060710430487782493560781671477422556657<84> |