A Pythagorean triple is three whole numbers a, b, c where a² + b² = c² — the side lengths of a right triangle. This lists the primitive triples (no common factor), starting with the famous 3-4-5.
| a | b | c | Check (a² + b² = c²) |
|---|---|---|---|
| 3 | 4 | 5 | 9 + 16 = 25 |
| 5 | 12 | 13 | 25 + 144 = 169 |
| 8 | 15 | 17 | 64 + 225 = 289 |
| 7 | 24 | 25 | 49 + 576 = 625 |
| 20 | 21 | 29 | 400 + 441 = 841 |
| 9 | 40 | 41 | 81 + 1600 = 1681 |
| 12 | 35 | 37 | 144 + 1225 = 1369 |
| 11 | 60 | 61 | 121 + 3600 = 3721 |
| 28 | 45 | 53 | 784 + 2025 = 2809 |
| 33 | 56 | 65 | 1089 + 3136 = 4225 |
| 16 | 63 | 65 | 256 + 3969 = 4225 |
| 48 | 55 | 73 | 2304 + 3025 = 5329 |
| 13 | 84 | 85 | 169 + 7056 = 7225 |
| 36 | 77 | 85 | 1296 + 5929 = 7225 |
| 39 | 80 | 89 | 1521 + 6400 = 7921 |
| 65 | 72 | 97 | 4225 + 5184 = 9409 |