n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 527: | \[527!!!!+1\] | 2 × 4999 × 436739 × 4818408407<10> × 28032683871029200577<20> × 631363343994871641841<21> × 12628786928421099135131<23> × [169581047136479588934673971770834880032831166360808248516775603767520351073952265405612323598616377802564551355579532749119322244550607851539776593551230503680496823177862210301576833945386807315518291589859984802217667557<222>] |