Pythagorean Triples Calculator - Multi-Tools

Pythagorean Triples Calculator

Generate and validate Pythagorean triples (sets of three positive integers that satisfy a² + b² = c²).

units
Enter the maximum value for any side (5-1000)

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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