n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 373: | \[373!!!!+1\] | 2 × 7417 × 11069 × 136533937 × 1632869989 × 1298135254943209<16> × 772230376507095311725303<24> × [10610327793398860895476589183215295341918783449795678852002793844557622521977686908673974513688673773250675575404085520854948169885416921<137>] |