Pythagorean Triples Calculator
Generate and validate Pythagorean triples (sets of three positive integers that satisfy a² + b² = c²).
Pythagorean Triples
Definition
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².
Properties
- Primitive triples have no common factors
- All primitive triples can be generated using Euclid's formula
- Non-primitive triples are multiples of primitive triples
- Common examples: (3,4,5), (5,12,13), (8,15,17)
Note: A primitive Pythagorean triple is one where a, b, and c are coprime (their greatest common divisor is 1).
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