n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 773: | \[773!!!!!+1\] | 857 × 2269 × 3719 × 7178719 × 19949393 × 10089569900929924969<20> × [89556698947009607065219027424693055338230302762016582518725146833089286894529887420208631577006364528664508866366064481116455850368889099176990179573940960862618426337539983768938364509886841994677351099314366219914256007039500749101555163598017973062482578877815271338523521883813510616353080999116362404771069368221310506409177278355373<338>] |