n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
439: | \[439!!!!!+1\] | 2309 × 3613 × 5592149 × 510119979692522477<18> × 13819494946829819607823<23> × 6387029831232986494404566290534343395311286917176086582769764222413713377057700152095281645486153475677081281788840690094823965923580668690479<142> |