n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
338: | \[338!!!!!+1\] | 9972 × 1105637314933<13> × 705845237388037<15> × 31307242357906030672514191479275737060765551827<47> × 4288846863781214779269205720377184620320722931028032315320010939<64> |