n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
362: | \[362!!!!+1\] | 547 × 778475775630559<15> × 151150738757202084499<21> × 760503998797682445856555732350154043663704971654077001250187910294322879325129338788414101532714101278985260803826928758791813936323995603079172821319196663<156> |