n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
171: | \[171!!!+1\] | 103 × 5872063643<10> × 23910814139<11> × 89406062444636969844389091797<29> × 49211409267006965700493880275939069416360912618639443<53> |