n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 476: | \[476!!!!!-1\] | 52 × 3083 × 447330853 × 2239215007 × 85608059988095669<17> × [10697109610271109369777825782260425334048163014467505808603644576383271659748558668780093379424713783749586094075893771270235421995928775315539851472029235669033271594203763331<176>] |