n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
249: | \[249!!!!!+1\] | 26489 × 522961 × 4300627 × 87891542861<11> × 1540165302765390018707560349411<31> × 131361430348046719157111589847471164309989<42> |