n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 252: | \[252!!!!!+1\] | 311 × 439 × 27814753 × 7710059782594600951105470586513223474980101023044088008230428037380346892501936219920977<88> |