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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.
Number Theory
Quadratic Residue Calculator
Determine whether an integer a is a quadratic residue modulo a prime p, and compute the Legendre symbol (a/p). Used in number theory, primality testing, and cryptographic algorithm design.
Fill in the required fields to see your result.
Key differences
| Quadratic Residues Calculator | Quadratic Residue Calculator | |
|---|---|---|
| Category | Number Theory | Number Theory |
| Inputs required | 2 | 3 |
| Result | Legendre Symbol | Quadratic Residue Result |
| What it does | 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. | Determine whether an integer a is a quadratic residue modulo a prime p, and compute the Legendre symbol (a/p). Used in number theory, primality testing, and cryptographic algorithm design. |