n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 400: | \[400!!!!!+1\] | 11905745279<11> × [497246211239188856811872976575729458943459402603207621384153613381291709125382692913989263235952101877653483770623176289777230669072170059821082453044139245438664319<165>] |