n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
342: | \[342!!!!!+1\] | 577 × 17823935171618053032483278319337237162745732423114943932830262832624159176686696246933288356871338837408873630244005682190601128210957181455809<143> |