n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
218: | \[218!!!!-1\] | 383 × 154571 × 843379 × 1730087 × 36499201 × 66960779030963<14> × 2016952932562713807836440807<28> × 2937783576448669945489438952083385051<37> |