n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 517: | \[517!!!!!-1\] | 5 × 9941 × 13649 × 24677 × 912208793057363<15> × [92272999117617972663184471164544510934573866480484713266853607398004467981776133111199087493643554259762427264652336923535587174615148175646545989152454616484803936135238630088334135180190496906783722065020169<209>] |