n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
170: | \[170!!!+1\] | 34 × 181 × 20439737 × 31753515859631<14> × 1280650263961958763725052260776522414390025307581251037418268124670577409925403<79> |