n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 339: | \[339!!!!!+1\] | 829 × 17789 × 7476110897<10> × 21755522949943<14> × 79827314523433300254140084477<29> × 259038708386789985267189621307642342824551<42> × 6250288221979390069930313687990131788396061<43> |