n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
356: | \[356!!!!!+1\] | 89083 × 1034664709813081960012906941884871516450438491179929146432055168448746188764515957250039066462257671669314961780823597785541498743832350495755433779<148> |