n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
350: | \[350!!!!-1\] | 1129 × 174469 × 1338809 × 3656025436680413<16> × 1106647482773686854407526932820169503228585908381175421942492650475575760868037100728443949109964567960589490754928953666068661657643123839873821802046192047<157> |