n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
413: | \[413!!!!+1\] | 2 × 12971576003<11> × 19007852651<11> × 72699459487220219649383940885043383883444562393947118505364400083602108931583949455655880562483219225187068226768452311958453519949301088752011619471255170545391594128762933483541813081162170051684161054121<206> |