n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
340: | \[340!!!!!+1\] | 4903 × 967934052252682253773656757<27> × 60727118548047854275822893716240729829549267372659<50> × 2915599473158722733593021852979969128405757073845201202805847609<64> |