n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 373: | \[373!!!!!-1\] | 191 × 108480766161763<15> × 1768828875407742520423<22> × [2136093650476250493808828759467765866170466440731588545429241935069734998520168008053480394872194764751076959191174188226109<124>] |