Examples
There are 16 primitive Pythagorean triples with c ≤ 100:
| ( 3, 4, 5 ) | ( 5, 12, 13) | ( 7, 24, 25) | ( 8, 15, 17) |
| ( 9, 40, 41) | (11, 60, 61) | (12, 35, 37) | (13, 84, 85) |
| (16, 63, 65) | (20, 21, 29) | (28, 45, 53) | (33, 56, 65) |
| (36, 77, 85) | (39, 80, 89) | (48, 55, 73) | (65, 72, 97) |
Each one of these low-c points forms one of the more easily recognizable radiating lines in the scatter plot.
Additionally these are all the primitive Pythagorean triples with 100 < c ≤ 300:
| (20, 99, 101) | (60, 91, 109) | (15, 112, 113) | (44, 117, 125) |
| (88, 105, 137) | (17, 144, 145) | (24, 143, 145) | (51, 140, 149) |
| (85, 132, 157) | (119, 120, 169) | (52, 165, 173) | (19, 180, 181) |
| (57, 176, 185) | (104, 153, 185) | (95, 168, 193) | (28, 195, 197) |
| (84, 187, 205) | (133, 156, 205) | (21, 220, 221) | (140, 171, 221) |
| (60, 221, 229) | (105, 208, 233) | (120, 209, 241) | (32, 255, 257) |
| (23, 264, 265) | (96, 247, 265) | (69, 260, 269) | (115, 252, 277) |
| (160, 231, 281) | (161, 240, 289) | (68, 285, 293) |
Read more about this topic: Pythagorean Triple
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—G.C. (Georg Christoph)
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (1896–1966)