n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 523: | \[523!!!!-1\] | 2 × 2357 × 3019 × 761987791 × 273304277384011<15> × [510580188672157518562115804489298996837535543503975689361898632971138408643242307364497243367439395883805768783593797911160715989440555366993016363892545156114666734936760718592985628718147345847639522298953282719583508470325167041790694497569693285479467266695337934289<270>] |