n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
269: | \[269!!!-1\] | 34 × 274117 × 14837051 × 6478487753299336779659443816746772433638084283601654026403789945474528899467491688227487801844684559527061892853742277361262597442158517860954940843442182767314411737<166> |