n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 449: | \[449!!!!!+1\] | 22871 × 89189 × 4241322499 × 503074438501<12> × [96212919652918732685311319874292546419605172671163809988707345710820229905586500401247982938252486337424871027286280442369573753757348800838386141896504403078683369559317<170>] |