n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 362: | \[362!!!+1\] | 3 × 32711753 × 17965105860761819<17> × 20322114828741235607<20> × [18168136540149238864284031474141110874806331018407475352585292081527872790693525242312755780097224767272078208371500941575654820569345598742967013254402448037412371553642443936842216398033013659376070849315063590783<215>] |