n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
172: | \[172!!!-1\] | 32 × 409 × 21589 × 991447 × 1224337571 × 2853784378803354803226390465716576991026802884844483051925498200814411588306014503<82> |