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Number Theory
Quadratic Residue Calculator
Determines whether an integer a is a quadratic residue or non-residue modulo a prime p using Euler's criterion. Useful in number theory, cryptography, and primality testing.
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
| Quadratic Residue Calculator | Quadratic Residues Calculator | |
|---|---|---|
| Category | Number Theory | Number Theory |
| Inputs required | 2 | 2 |
| Result | Quadratic Residue Result | Legendre Symbol |
| What it does | Determines whether an integer a is a quadratic residue or non-residue modulo a prime p using Euler's criterion. Useful in number theory, cryptography, and primality testing. | 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. |