n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
323: | \[323!!!!+1\] | 22 × 13339 × 1067639 × 5302555606278113<16> × 30483998203891234002034849442465351583012553845848691693081630627355650660156245865640279840994362727031125168934952885910810179463512067024653<143> |