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
Famous quotes containing the word examples:
“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
—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)
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (1670–1733)