n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
328: | \[328!!!!!+1\] | 5 × 414372094079<12> × 119759534987137531<18> × 3729634801562752699559795755421114858226127723403018416245754175854467122862877507292512121492182660695575209<109> |