n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
351: | \[351!!!!-1\] | 24 × 1399 × 9393739 × 13513601 × 14641315920045209<17> × 2857232547790711711<19> × 123665347961945522755459<24> × 321658337557087505144525075601348495430496832628157643898242271980172203751194858723115121443521195170908106339<111> |