n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 357: | \[357!!!!!+1\] | 991 × 287215175867<12> × [1575573702638632306030450802522408130537404153421075636162730981087993136090363362691878974420778642365719124854411597149349182447143959021<139>] |