n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 289: | \[289!!!!!+1\] | 31053429603969969961215647980684500453043934886267800096532028016766833480222595527150587512397918542803241999947268097<119> |