n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 310: | \[310!!!!!-1\] | 173 × 967 × 52769 × 77301015875339789105351210679066371388988507086984191845918941837788618309462056808526193812088956063768620634121579181<119> |