n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
415: | \[415!!!!!-1\] | 217923817 × 304046657 × 11051178227<11> × 624699591862901<15> × 16511779114012479631507<23> × 54012768819334475724106271292988777142150149813375889285529488357962013675175304721115417572875219306638328113288678739<119> |