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Number Theory
Pythagorean Triples Generator
Generates all Pythagorean triples (a, b, c) satisfying a² + b² = c² up to a chosen limit, classifying each as primitive or non-primitive. Useful for geometry problems, number theory study, and competition math.
Fill in the required fields to see your result.
Number Theory
Quadratic Residues Calculator
Computes the Legendre symbol (a/p) for any integer a and odd prime p, classifying a as a quadratic residue (+1), non-residue (−1), or zero (0). Useful for modular arithmetic and cryptographic analysis.
Fill in the required fields to see your result.
Key differences
| Pythagorean Triples Generator | Quadratic Residues Calculator | |
|---|---|---|
| Category | Number Theory | Number Theory |
| Inputs required | 2 | 2 |
| Result | Triple Count (triples) | Legendre Symbol |
| What it does | Generates all Pythagorean triples (a, b, c) satisfying a² + b² = c² up to a chosen limit, classifying each as primitive or non-primitive. Useful for geometry problems, number theory study, and competition math. | Computes the Legendre symbol (a/p) for any integer a and odd prime p, classifying a as a quadratic residue (+1), non-residue (−1), or zero (0). Useful for modular arithmetic and cryptographic analysis. |