n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 399: | \[399!!!+1\] | 35634552841<11> × 102108332914673<15> × 376546479373943<15> × [31100388284390041270919056392032240593931817437717924342636352909600161979099968384847505068121394683612333856630102369566636139263832642851909778342903274026900733810157139731063677329676504343380795652096902308373643846613228546663215625925259409599<251>] |