n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
327: | \[327!!!!!+1\] | 5 × 371606760827<12> × 51932428131084563<17> × 56316086904563249<17> × 105095348096975068557465348833517239<36> × 470627296929311649138961089022240685249998444386255977003<57> |