n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
365: | \[365!!!!!-1\] | 2753441 × 250947163 × 21657665402765631055196857<26> × 316270985892867811651724156815583194392605437492777842540392322779520192195758749647977433184279411674841018578627829<117> |