n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 405: | \[405!!!!!-1\] | 163 × 17826251299<11> × [825154863292659777710088886534565361538555171886024856337609089254389113264556738032485146840848489654702312147306901310297512160122886176615515263674845202787576327<165>] |