n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
316: | \[316!!!!-1\] | 1514963 × 12900460766819<14> × 147723379866621073<18> × 113219326294839813950560923412854076601271112929047968364828172118229902722571825461505111219845658324554472733310704165614821479<129> |