n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 436: | \[436!!!!!-1\] | 5 × 11883967 × 1682544491 × 399335414490557<15> × [908979155152940320109329750417097495676156404484359429403396491873768672199932807344166202439867756174461324555676669178888791858508685239575965030518853438450547<162>] |