n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
243: | \[243!!!!+1\] | 22 × 972 × 311 × 32962103731<11> × 298957337262667<15> × 62351101866232427<17> × 16964784652459594380325448633107589<35> × 6449126363524577697715630558795441751<37> |