n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
378: | \[378!!!+1\] | 127 × 593 × 18257 × 76907 × 122900176454403137<18> × 2391213151626814995691465430803524706013959653153850249044357000302116167849985822146787508425025286081410370267628638977786156433132736439129211391528924306925884693097002643122419820835807051308357024443552970740352272818232634195721524957<241> |