n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
240: | \[240!!!!!+1\] | 53 × 509 × 617 × 826153 × 698645061199<12> × 165974951804351<15> × 27658622794043612923815512987671369997360993074256480737<56> |