n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
277: | \[277!!!!!+1\] | 94057 × 442987 × 67161880663<11> × 98753436269380843<17> × 143514255479480892472560305075157194617811922276337234148484209836118665927<75> |