n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
434: | \[434!!!!!-1\] | 271 × 1277 × 721823749 × 12761728121<11> × 190427969681<12> × 1279228269067306379448449<25> × 92197996934356859754456081329<29> × 252490629192576454739123665913664949222013461319<48> × 264681251719055085530012554206054442872944843856063444239<57> |