n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 500: | \[500!!!!-1\] | 251 × 967 × 2347 × 14469089867<11> × 2534759074419340576369926237301081<34> × [16303602871923574336383156205641191477255166489326189471934773528413988057422509705478092847866851232014742461719523611808818931965235832759978409218961137867271450495432578004539216634964867148569404610364769468631406112556551173563<233>] |