n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
509: | \[509!!!!!+1\] | 297893 × 2453822341 × 2555170487497<13> × 34549625452959781200777771006219827622214959624879273439313802967076379376209854050969896974203051661861392011534316831477219382604948808933342690428400445898611588561489219342579764674304521882582774241217<206> |