n!4+2 (n=1-20000)
| Number | Status | Digits | Program | Time taken for proof |
| 5!4+2 | Prime | 1 | pfgw | |
| 7!4+2 | Prime | 2 | pfgw | |
| 9!4+2 | Prime | 2 | pfgw | |
| 11!4+2 | Prime | 3 | pfgw | |
| 13!4+2 | Prime | 3 | pfgw | |
| 15!4+2 | Prime | 4 | pfgw | |
| 19!4+2 | Prime | 5 | pfgw | |
| 27!4+2 | Prime | 8 | pfgw | |
| 29!4+2 | Prime | 9 | pfgw | |
| 31!4+2 | Prime | 10 | pfgw | |
| 43!4+2 | Prime | 14 | pfgw | |
| 53!4+2 | Prime | 18 | pfgw | |
| 75!4+2 | Prime | 29 | Primo | 00.04s |
| 143!4+2 | Prime | 63 | Primo | 00.06s |
| 169!4+2 | Prime | 77 | Primo | 00.18s |
| 185!4+2 | Prime | 86 | Primo | 00.23s |
| 235!4+2 | Prime | 116 | Primo | 00.67s |
| 259!4+2 | Prime | 130 | Primo | 00.69s |
| 363!4+2 | Prime | 195 | Primo | 03.41s |
| 365!4+2 | Prime | 196 | Primo | 06.47s |
| 457!4+2 | Prime | 256 | Primo | 13.01s |
| 493!4+2 | Prime | 280 | Primo | 24.46s |
| 573!4+2 | Prime | 335 | Primo | 41.79s |
| 777!4+2 | Prime | 479 | Primo | 02m 51s |
| 1273!4+2 | Prime | 852 | Primo | 54m 59s |
| 1275!4+2 | Prime | 854 | Primo | 44m 01s |
| 1865!4+2 | Prime | 1325 | Primo | 242h 40mn 38s Ken Davis 06/2003 |
| 3621!4+2 | Prime | 2831 | Primo | 205 hrs 02mn 24s Ken Davis 10/2003 |
| 4523!4+2 | prp | 3645 | ||
| 5291!4+2 | prp | 4353 | ||
| 5845!4+2 | prp | 4872 | ||
| 7185!4+2 | prp | 6149 | ||
| 10183!4+2 | prp | 9100 | ||
| 12845!4+2 | prp | 11802 | PRP Records | |
| 15057!4+2 | prp | 14094 | PRP Records | |
| 16281!4+2 | prp | 15378 | PRP Records | |
| 17945!4+2 | prp | 17139 | PRP Records | |
| 18771!4+2 | prp | 18019 | PRP Records |