n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
175: | \[175!!!!-1\] | 23 × 3389 × 32769799 × 743992939007<12> × 55816167343187<14> × 7050245919944628592016660147048866881808997<43> |