n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 399: | \[399!!!!+1\] | 2 × 2416486637 × 74806074657838309<17> × [106945107566119772881146991613422303317185138433376023846875906213743181289739270664570867946642487230706786393520997315717887905055650888968209552354840262844363034446188466651496585414337061<192>] |