n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
176: | \[176!!!+1\] | 32 × 239 × 5085235659929<13> × 266205157095700459267<21> × 127424245719441984399343425339232146781653181808010726328842206858872357<72> |