n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
269: | \[269!!!!+1\] | 2 × 577 × 3315015217 × 4311924883087713504827<22> × 3554482910461717218826706042004054167<37> × 42858416617782686252041377194018406382242920968842217009546052873<65> |