This a list of the largest known Paley graphs with for a few small clique numbers. Using Mathon doubling, a Paley(p) with clique number k implies R(k+2,k+2) > 2p + 2. For example, the last entry gives R(23,23) > 49420. The entry for 10 is not a typo.
| 2 | 5 | |
| 3 | 17 | |
| 4 | 37 | |
| 5 | 101 | |
| 6 | 109 | |
| 7 | 281 | |
| 8 | 373 | |
| 9 | 797 | |
| 10 | 709 | |
| 11 | 1277 | |
| 12 | 1493 | |
| 13 | 2741 | |
| 14 | 2801 | |
| 15 | 4457 | |
| 16 | 5501 | |
| 17 | 8941 | |
| 18 | 10861 | |
| 19 | 15461 | |
| 20 | 19553 | |
| 21 | 24709 |