n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
291: | \[291!!!!+1\] | 22 × 673 × 937 × 123747517 × 236140812499<12> × 256469040031<12> × 89121891604137788771608429525238182795523977981300733<53> × 65991038197108542864609565988669610678504604197358012878041<59> |