The following table lists the stated values of Ramsey numbers. The inputs r and b are inputted into function R(r, b) = n. The values of n in the form [a, b] are endpoint inclusive ranges of possible values for that Ramsey number.
Source: Wolfram Math World: http://mathworld.wolfram.com/RamseyNumber.html.
r |
b |
n |
3 |
3 |
6 |
3 |
4 |
9 |
3 |
5 |
14 |
3 |
6 |
18 |
3 |
7 |
23 |
3 |
8 |
28 |
3 |
9 |
36 |
3 |
10 |
[40, 43] |
3 |
11 |
[46, 51] |
3 |
12 |
[52, 59] |
3 |
13 |
[59, 69] |
3 |
14 |
[66, 78] |
3 |
15 |
[73, 88] |
3 |
16 |
[79, 135] |
3 |
17 |
[92, 152] |
3 |
18 |
[98, 170] |
3 |
19 |
[106, 189] |
3 |
20 |
[109, 209] |
3 |
21 |
[122, 230] |
3 |
22 |
[125, 252] |
3 |
23 |
[136, 275] |
4 |
4 |
18 |
4 |
5 |
25 |
4 |
6 |
[35, 41] |
4 |
7 |
[49, 61] |
4 |
8 |
[56, 84] |
4 |
9 |
[69, 115] |
4 |
10 |
[92, 149] |
4 |
11 |
[97, 191] |
4 |
12 |
[128, 238] |
4 |
13 |
[133, 291] |
4 |
14 |
[141, 349] |
4 |
15 |
[153, 417] |
4 |
16 |
[153, 815] |
4 |
17 |
[182, 968] |
4 |
18 |
[182, 1139] |
4 |
19 |
[198, 1329] |
4 |
20 |
[230, 1539] |
4 |
21 |
[242, 1770] |
4 |
22 |
[282, 2023] |
5 |
5 |
[43, 49] |
5 |
6 |
[58, 87] |
5 |
7 |
[80, 143] |
5 |
8 |
[101, 216] |
5 |
9 |
[121, 316] |
5 |
10 |
[141, 442] |
5 |
11 |
[157, 1000] |
5 |
12 |
[181, 1364] |
5 |
13 |
[205, 1819] |
5 |
14 |
[233, 2379] |
5 |
15 |
[261, 3059] |
5 |
16 |
[278, 3875] |
5 |
17 |
[284, 4844] |
5 |
18 |
[284, 5984] |
5 |
19 |
[338, 7314] |
5 |
20 |
[380, 8854] |
5 |
21 |
[380, 10625] |
5 |
22 |
[422, 12649] |
5 |
23 |
[434, 14949] |
5 |
24 |
[434, 17549] |
5 |
25 |
[434, 20474] |
5 |
26 |
[464, 23750] |
6 |
6 |
[102, 165] |
6 |
7 |
[111, 298] |
6 |
8 |
[127, 495] |
6 |
9 |
[169, 780] |
6 |
10 |
[178, 1171] |
6 |
11 |
[253, 3002] |
6 |
12 |
[262, 4367] |
6 |
13 |
[317, 6187] |
6 |
14 |
[317, 8567] |
6 |
15 |
[401, 11627] |
6 |
16 |
[434, 15503] |
6 |
17 |
[548, 20348] |
6 |
18 |
[614, 26333] |
6 |
19 |
[710, 33648] |
6 |
20 |
[878, 42503] |
6 |
21 |
[878, 53129] |
6 |
22 |
[1070, 65779] |
7 |
7 |
[205, 540] |
7 |
8 |
[216, 1031] |
7 |
9 |
[232, 1713] |
7 |
10 |
[232, 2826] |
7 |
11 |
[405, 8007] |
7 |
12 |
[416, 12375] |
7 |
13 |
[511, 18563] |
7 |
14 |
[511, 27131] |
7 |
15 |
[511, 38759] |
7 |
16 |
[511, 54263] |
7 |
17 |
[628, 74612] |
7 |
18 |
[722, 100946] |
7 |
19 |
[908, 134595] |
7 |
20 |
[908, 177099] |
7 |
21 |
[1214, 230229] |
8 |
8 |
[282, 1870] |
8 |
9 |
[317, 3583] |
8 |
10 |
[377, 6090] |
8 |
11 |
[377, 19447] |
8 |
12 |
[377, 31823] |
8 |
13 |
[817, 50387] |
8 |
14 |
[817, 77519] |
8 |
15 |
[861, 116279] |
8 |
16 |
[861, 170543] |
8 |
17 |
[861, 245156] |
8 |
18 |
[871, 346103] |
8 |
19 |
[1054, 480699] |
8 |
20 |
[1094, 657799] |
8 |
21 |
[1328, 888029] |
9 |
9 |
[565, 6588] |
9 |
10 |
[580, 12677] |
10 |
10 |
[798, 23556] |
11 |
11 |
[1597, 184755] |
12 |
12 |
[1637, 705431] |
13 |
13 |
[2557, 2704155] |
14 |
14 |
[2989, 10400599] |
15 |
15 |
[5485, 40116599] |
16 |
16 |
[5605, 155117519] |
17 |
17 |
[8917, 601080389] |
18 |
18 |
[11005, 2333606219] |
19 |
19 |
[17885, 9075135299] |