n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 466: | \[466!!!!!+1\] | 10529 × 20800654661<11> × [1439883299346387152073383906038716555783536632938698826716996007525044951957577514888804905788658072741769492455958033030367980605178477175414949343803677345912561484115292358794239502515983510253<196>] |