n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
304: | \[304!!!!!+1\] | 5 × 9161 × 58657571358319<14> × 426378996442313<15> × 724384094323291594983610590923423445830406590169254466985068227191597728493980044548602383123<93> |