n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 300: | \[300!!!!!-1\] | 2423 × 15053 × 10994723 × 66858632516579<14> × 269188716628628380913548901022394973472387761360543189449419980041739495201171794312106142471413<96> |