n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 456: | \[456!!!!+1\] | 311 × 1699 × 238581437 × 19032036043<11> × 71121603541<11> × 81398318924963297<17> × [78992945374207432689493543993281181739765257998699671220544915342888885736096308709070456714760363076918250351139346695139571193015255071179704580660548344482126143256598332278403530688692446840446445287<203>] |