n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
250: | \[250!!!+1\] | 1483 × 13591 × 79087 × 23822629 × 73790955179<11> × 275225352578779199373585791369557589931384201626259574282159324925108060050815482072186402151883865696338609426314081630854141078771101<135> |