n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 345: | \[345!!!!-1\] | 22 × 251 × 4909 × 446693669 × [221724842245817980246138889029720650293480047840468311230046763404931836630770497476571869008686999220850193105761268115245969186624150637921189615203554727775656669211<168>] |