n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 470: | \[470!!!!!+1\] | 6397 × 220301 × 89007276623<11> × [437661039121075947954793756691416694909834998852332599074790822894234735082402615242409935361824864207357787036724973012804918357769826065272505344542537046195948533273965924136792288922643271<192>] |