n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 249: | \[249!!!+1\] | 3041 × 840061 × 623767046971<12> × 4470329966583001050379177<25> × [22104443030716555138889518740714716548410647584732688357885521052621632399270256547376058680334684327942154705265747703<119>] |