n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
302: | \[302!!!!!+1\] | 461 × 3438807731 × 15685576073154408143<20> × 3380805351670376888660981737937293073209188024679445315996793632645023921323641376398012130281<94> |