n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 612: | \[612!!!!!-1\] | 569376607 × 170563001743<12> × 451475586581<12> × [653847261051841779430796125483116297886060185269271477997584388124273905496188892530105242674298075675434966186290385284100130248791618975128465325661321941009891387452502860735728445845122573020608793278968700382890001655403301377566552727850150829495298707<258>] |