n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 496: | \[496!!!!!-1\] | 53 × 499 × 67886339761<11> × 4397312646306248827<19> × [216164066264246437246376989471137524760759894233879139089501458310597230816052254011972577697703116937364278651168672349757096996493120218897667686532985640546015791183062275815821998895233371<192>] |