n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
293: | \[293!!!!-1\] | 22 × 409 × 28051 × 1597170983 × 11031641227<11> × 2052325518816745001<19> × 4049743390759587412666121<25> × 191750804532785515216061914420814294840160783183647634717338318653810660317571819<81> |