n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 402: | \[402!!!!!+1\] | 54517 × 545383931179<12> × 175075055844575959<18> × 510396012882162553<18> × [29086388947156545775496913560206418372155695125763311323449573665663397718538205190837775627073605056502624618019285730545673<125>] |