n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 408: | \[408!!!!!+1\] | 52 × 532531 × 6691437971981726237<19> × 68299214342276911958949353<26> × [18588112109397272334081548012013438419305326520686738215330886321283589435407564400764511572912571923908379614771661548501143479<128>] |