n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
370: | \[370!!!!!+1\] | 491 × 5122488732154489669<19> × 874310733504639752185273727<27> × 796347218724119942691624197777460050490005094660093775006996458959605748627203644256769362774205412201853231897<111> |