n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 579: | \[579!!!!!-1\] | 5 × 4481 × 130279 × 71011679468969<14> × 2319345145854870920777<22> × [28182155814182661864938300624964950805870219224141008357812876880322171287123184087565055289916023549976852675356909199325210130926178422041230633980686575671230597651003166078542288335559015723196679508128854570451057503236197<227>] |