n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
322: | \[322!!!!!+1\] | 727 × 193157477479<12> × 10255392880854025549<20> × 570741332778489770271106733638088117459618909641209761042075105304523001552371502864606893137857702149<102> |