n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
166: | \[166!!!+1\] | 223 × 1217 × 71616036210466436875101869<26> × 487269588520364957081505549726491700652867491671290621126586365109819<69> |