n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
365: | \[365!!!!!+1\] | 131 × 743 × 1277 × 2351 × 402905383 × 3966353492740847365891<22> × 10135167598306463810195504908349956671257139509081934958082245739054883868543473926817853350042342535502748036701587<116> |