n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
417: | \[417!!!!!+1\] | 534811 × 1453492631 × 37205224185707<14> × 241014769788479<15> × 670040793673060597<18> × 1156967948702747290869396724865721415653051498429692010031927150310367727475941239806349981860798537734281871527285728908397<124> |