n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 398: | \[398!!!!!+1\] | 241709985953<12> × [2845742160805061282809946075969413527051141463800422718209601211096974899134277400119772921843588343482519616791530481888313399074843182186653850467901355130631009<163>] |