n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 412: | \[412!!!!-1\] | 389 × 40327891693<11> × 804668088154950585053<21> × [806806956411017582905434247694411948205638503680280775966195836535610825180710373453143295223095194353138112167956312007990106964574988497040110134280159668988057447383261854876843288855355179<192>] |